1.
What can be calculated by finding the area under an acceleration vs. time graph for a specific amount of time?
Correct Answer
C. 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.
What is represented by the slope of a position vs. time graph?
Correct Answer
D. 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.
3.
When the slope of a velocity vs. time graph is zero, which of the following is true?
Correct Answer
A. 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."
4.
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?
Correct Answer
C. +15 km/hr
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.
5.
A car accelerates from rest at a rate of 2.3 m/s^{2} for 25 seconds. What is the final velocity of this car?
Correct Answer
B. 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.
A car accelerates from rest at a rate of 2.3 m/s^{2} for 25 seconds. What distance is covered by the car during this time?
Correct Answer
A. 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.
7.
What is the average acceleration for a train that accelerates from 20 m/s to 27.2 m/s in 3 seconds? _____________
Correct Answer
A. 2.5
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.
8.
When looking at a position versus time graph, what does a upwardly curved slope suggest about the velocity?
Correct Answer
C. It is increasing
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.
9.
What is the difference between speed and velocity?
Correct Answer
D. Velocity is a vector and speed is a scalar
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.
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?
Correct Answer
C. 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.
11.
With what average velocity would you need to travel to reach a landmark that is 1560 km away in 12 hours?
Correct Answer
B. 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.
12.
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?
Correct Answer
B. Tell the teacher imeadiately
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.
13.
Calculate the average velocity for a boat traveling 3500 kilometers in 6 days.
Correct Answer
C. 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.
If Tiffany walks at a pace of 3 km/hr for 6.5 hours, how far does she go?
Correct Answer
B. 19.5 km
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.
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?
Correct Answer
A. 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.