Solve This Acceleration Trivia Quiz!

1. What can be calculated by finding the area under an acceleration vs. time graph for a specific amount of time?

Displacement

Position

Velocity

None of these

The area under an acceleration vs. time graph represents the change in velocity over a specific amount of time. Therefore, by calculating the area under the graph for a given time interval, we can determine the velocity during that time period. This is because acceleration is the rate of change of velocity, so integrating the acceleration function gives us the change in velocity.

Explanation

The area under an acceleration vs. time graph represents the change in velocity over a specific amount of time. Therefore, by calculating the area under the graph for a given time interval, we can determine the velocity during that time period. This is because acceleration is the rate of change of velocity, so integrating the acceleration function gives us the change in velocity.

2. With what average velocity would you need to travel to reach a landmark that is 1560 km away in 12 hours?

150 km/hr

130 km/hr

12 km/hr

18720 km/hr

To calculate average velocity, we divide the total distance traveled by the total time taken. In this case, the total distance is 1560 km and the total time is 12 hours. So, the average velocity would be 1560 km / 12 hours = 130 km/hr.

Explanation

To calculate average velocity, we divide the total distance traveled by the total time taken. In this case, the total distance is 1560 km and the total time is 12 hours. So, the average velocity would be 1560 km / 12 hours = 130 km/hr.

3. What is the average acceleration for a train that accelerates from 20 m/s to 27.2 m/s in 3 seconds? _____________

bevelled m over s squared

2.5

3.2

2.0

2.72

The average acceleration can be calculated by using the formula: average acceleration = (final velocity - initial velocity) / time. In this case, the final velocity is 27.2 m/s, the initial velocity is 20 m/s, and the time is 3 seconds. Plugging these values into the formula, we get (27.2 - 20) / 3 = 7.2 / 3 = 2.4 m/s^2. Rounded to one decimal place, the average acceleration is 2.5 m/s^2.

Explanation

The average acceleration can be calculated by using the formula: average acceleration = (final velocity - initial velocity) / time. In this case, the final velocity is 27.2 m/s, the initial velocity is 20 m/s, and the time is 3 seconds. Plugging these values into the formula, we get (27.2 - 20) / 3 = 7.2 / 3 = 2.4 m/s^2. Rounded to one decimal place, the average acceleration is 2.5 m/s^2.

4. When looking at a position versus time graph, what does a upwardly curved slope suggest about the velocity?

It remains constant

It is decreasing

It is increasing

It is reversed

An upwardly curved slope on a position versus time graph suggests that the velocity is increasing. This means that the object is moving faster as time goes on. The steeper the slope, the greater the increase in velocity.

Explanation

An upwardly curved slope on a position versus time graph suggests that the velocity is increasing. This means that the object is moving faster as time goes on. The steeper the slope, the greater the increase in velocity.

5. A car accelerates from rest at a rate of 2.3 m/s² for 25 seconds. What is the final velocity of this car?

28.3 m/s

57.5 m/s

10.87 m/s

12.01 m/s

The final velocity of an object can be calculated using the formula: final velocity = initial velocity + (acceleration x time). In this case, the car starts from rest (initial velocity = 0 m/s), accelerates at a rate of 2.3 m/s2 for 25 seconds. Plugging these values into the formula, we get: final velocity = 0 + (2.3 x 25) = 57.5 m/s. Therefore, the final velocity of the car is 57.5 m/s.

Explanation

The final velocity of an object can be calculated using the formula: final velocity = initial velocity + (acceleration x time). In this case, the car starts from rest (initial velocity = 0 m/s), accelerates at a rate of 2.3 m/s2 for 25 seconds. Plugging these values into the formula, we get: final velocity = 0 + (2.3 x 25) = 57.5 m/s. Therefore, the final velocity of the car is 57.5 m/s.

6. If Tiffany walks at a pace of 3 km/hr for 6.5 hours, how far does she go?

2.17 km

19.5 km

.46 km

12.50 km

Tiffany walks at a pace of 3 km/hr for 6.5 hours. To find the distance she goes, we can multiply her pace (3 km/hr) by the time she walks (6.5 hours). Multiplying 3 km/hr by 6.5 hours gives us 19.5 km, which is the distance Tiffany goes.

Explanation

Tiffany walks at a pace of 3 km/hr for 6.5 hours. To find the distance she goes, we can multiply her pace (3 km/hr) by the time she walks (6.5 hours). Multiplying 3 km/hr by 6.5 hours gives us 19.5 km, which is the distance Tiffany goes.

7. What is represented by the slope of a position vs. time graph?

Acceleration

Position

Distance

Velocity

The slope of a position vs. time graph represents the velocity. Velocity is the rate at which an object changes its position with respect to time. The slope of the graph indicates how fast the object is moving, with a steeper slope indicating a higher velocity and a flatter slope indicating a lower velocity. Therefore, the correct answer is velocity.

Explanation

The slope of a position vs. time graph represents the velocity. Velocity is the rate at which an object changes its position with respect to time. The slope of the graph indicates how fast the object is moving, with a steeper slope indicating a higher velocity and a flatter slope indicating a lower velocity. Therefore, the correct answer is velocity.

8. Jack and Alice were working on a lab with a glass beaker when Alice dropped the beaker and was cut by the broken glass. What should Jack do first?

Try to stop the bleeding.

Tell the teacher imeadiately

Run around screaming, "She's a gonner"

All of these

Jack should tell the teacher immediately because Alice has been injured and needs medical attention. The teacher can provide assistance and ensure that Alice receives the necessary help for her injury.

Explanation

Jack should tell the teacher immediately because Alice has been injured and needs medical attention. The teacher can provide assistance and ensure that Alice receives the necessary help for her injury.

9. What is the difference between speed and velocity?

Velocity has no direction, Speed does

Speed has direction, velocity does not

Velocity has direction, speed does too

Velocity is a vector and speed is a scalar

The difference between speed and velocity lies in their properties. Speed is a scalar quantity, meaning it only has a magnitude, while velocity is a vector quantity, having both magnitude and direction. This means that velocity not only tells us how fast an object is moving but also in which direction it is moving. On the other hand, speed only indicates the magnitude of the object's motion, without specifying the direction.

Explanation

The difference between speed and velocity lies in their properties. Speed is a scalar quantity, meaning it only has a magnitude, while velocity is a vector quantity, having both magnitude and direction. This means that velocity not only tells us how fast an object is moving but also in which direction it is moving. On the other hand, speed only indicates the magnitude of the object's motion, without specifying the direction.

10. When the slope of a velocity vs. time graph is zero, which of the following is true?

The velocity is unchanging.

The object is standing still

There must be acceleration

All of these

When the slope of a velocity vs. time graph is zero, it means that the velocity is not changing over time. This indicates that the object is moving at a constant velocity and there is no acceleration. Therefore, the correct answer is "The velocity is unchanging."

Explanation

When the slope of a velocity vs. time graph is zero, it means that the velocity is not changing over time. This indicates that the object is moving at a constant velocity and there is no acceleration. Therefore, the correct answer is "The velocity is unchanging."

11. Adam is driving 70 km/hr west and passes Dana who is also traveling west, but at a rate of 55 km/hr. From Dana's perspective, how fast does it appear that Adam is moving?

+25 km/hr

-15 km/hr

+15 km/hr

125 km/hr

From Dana's perspective, it appears that Adam is moving at a speed that is the difference between their speeds. Since Dana is traveling at 55 km/hr and Adam is traveling at 70 km/hr, the difference in their speeds is 15 km/hr. Therefore, it appears that Adam is moving at a speed of +15 km/hr from Dana's perspective.

Explanation

From Dana's perspective, it appears that Adam is moving at a speed that is the difference between their speeds. Since Dana is traveling at 55 km/hr and Adam is traveling at 70 km/hr, the difference in their speeds is 15 km/hr. Therefore, it appears that Adam is moving at a speed of +15 km/hr from Dana's perspective.

12. A man walking down the street at a pace of 3 km/hr is passed by a vehicle going 15 km/hr in the opposite direction. From his perspective, how fast did the car pass him?

12 km/hr

13 km/hr

18 km/hr

5 km/hr

When the man is walking down the street at 3 km/hr and the vehicle is passing him in the opposite direction at 15 km/hr, their relative speed is the sum of their individual speeds. Therefore, the car is passing the man at a speed of 3 km/hr + 15 km/hr, which equals 18 km/hr.

Explanation

When the man is walking down the street at 3 km/hr and the vehicle is passing him in the opposite direction at 15 km/hr, their relative speed is the sum of their individual speeds. Therefore, the car is passing the man at a speed of 3 km/hr + 15 km/hr, which equals 18 km/hr.

13. Calculate the average velocity for a boat traveling 3500 kilometers in 6 days.

583.33 km/hr

145.83 km/hr

24.31 km/hr

.58 km/hr

To calculate average velocity, we divide the total distance traveled by the total time taken. In this case, the boat traveled 3500 kilometers in 6 days. Therefore, the average velocity is 3500 km / 6 days = 583.33 km/day. However, the answer options are given in km/hr, so we need to convert the average velocity to km/hr. Since there are 24 hours in a day, we divide the average velocity in km/day by 24. Thus, the average velocity is 583.33 km/day / 24 hr/day = 24.31 km/hr.

Explanation

To calculate average velocity, we divide the total distance traveled by the total time taken. In this case, the boat traveled 3500 kilometers in 6 days. Therefore, the average velocity is 3500 km / 6 days = 583.33 km/day. However, the answer options are given in km/hr, so we need to convert the average velocity to km/hr. Since there are 24 hours in a day, we divide the average velocity in km/day by 24. Thus, the average velocity is 583.33 km/day / 24 hr/day = 24.31 km/hr.

14. A car accelerates from rest at a rate of 2.3 m/s² for 25 seconds. What distance is covered by the car during this time?

718.75 m

57.50 m

10.87 m

212.01 m

The car accelerates from rest at a rate of 2.3 m/s2 for 25 seconds. To find the distance covered during this time, we can use the equation: distance = (initial velocity * time) + (0.5 * acceleration * time^2). Since the initial velocity is 0 (the car starts from rest), the equation simplifies to: distance = 0.5 * acceleration * time^2. Plugging in the values, we get: distance = 0.5 * 2.3 * (25^2) = 718.75 m. Therefore, the correct answer is 718.75 m.

Explanation

The car accelerates from rest at a rate of 2.3 m/s2 for 25 seconds. To find the distance covered during this time, we can use the equation: distance = (initial velocity * time) + (0.5 * acceleration * time^2). Since the initial velocity is 0 (the car starts from rest), the equation simplifies to: distance = 0.5 * acceleration * time^2. Plugging in the values, we get: distance = 0.5 * 2.3 * (25^2) = 718.75 m. Therefore, the correct answer is 718.75 m.

15. Prince Joe and Prince Mikey ride their horse Charlie across the jousting grounds at a pace of 12.3 km/hr. If the jousting grounds are 3.5 km wide, how long does it take for them to cross the distance?

16.8 minutes

.28 minutes

30 minutes

3.5 minutes

Prince Joe and Prince Mikey are riding their horse Charlie at a speed of 12.3 km/hr. The distance they need to cross is 3.5 km. To find the time it takes for them to cross the distance, we can use the formula: time = distance/speed. Plugging in the values, we get time = 3.5 km / 12.3 km/hr = 0.285 hr. To convert this to minutes, we multiply by 60, giving us 0.285 hr * 60 min/hr = 17.1 minutes. Therefore, the closest answer is 16.8 minutes.

Explanation

Prince Joe and Prince Mikey are riding their horse Charlie at a speed of 12.3 km/hr. The distance they need to cross is 3.5 km. To find the time it takes for them to cross the distance, we can use the formula: time = distance/speed. Plugging in the values, we get time = 3.5 km / 12.3 km/hr = 0.285 hr. To convert this to minutes, we multiply by 60, giving us 0.285 hr * 60 min/hr = 17.1 minutes. Therefore, the closest answer is 16.8 minutes.