1.
_______________ is defined as the rate of change in position.
Correct Answer
A. Speed
Explanation
Speed is defined as the rate of change in position. It is a scalar quantity that only considers the magnitude of the change in position and does not take into account the direction. Speed measures how fast an object is moving, regardless of the direction it is moving in. It is calculated by dividing the distance traveled by the time taken.
2.
Speed with direction is called ________________.
Correct Answer
C. Velocity
Explanation
Velocity is the correct answer because it refers to the speed of an object in a specific direction. It is a vector quantity that includes both magnitude (speed) and direction. Acceleration refers to the rate of change of velocity, deceleration refers to negative acceleration or slowing down, and constant speed refers to a steady speed without any change in velocity. Therefore, velocity is the most appropriate term to describe speed with direction.
3.
To find acceleration the initial velocity is _________ from the final velocity and then _____ by the time it takes to change velocity.
Correct Answer
B. Subtracted, divided
Explanation
To find acceleration, we subtract the initial velocity from the final velocity to determine the change in velocity. Then, we divide this change in velocity by the time it takes for the velocity to change. This calculation gives us the acceleration.
4.
A body accelerates if it____________
Correct Answer
D. All possible choices
Explanation
A body accelerates when it speeds up, slows down, or changes direction. Acceleration is defined as any change in velocity, which includes changes in speed (both increasing and decreasing) as well as changes in direction. Therefore, all the given choices (speeds up, slows down, and changes direction) are correct explanations for when a body accelerates.
5.
The term that means a change in rate of velocity is ____________.
Correct Answer
A. Acceleration
Explanation
Acceleration is the correct answer because it refers to a change in rate of velocity. Velocity is a vector quantity that includes both speed and direction, while acceleration specifically measures the change in velocity over time. It can be positive (when an object speeds up), negative (when an object slows down or decelerates), or zero (when an object maintains a constant velocity). Therefore, acceleration accurately describes the concept of a change in velocity.
6.
In order to calculate the velocity of an object you must know the time and the _________ (assuming the direction remains constant).
Correct Answer
B. Distance
Explanation
To calculate the velocity of an object, you need to know the time and the distance traveled. This is because velocity is defined as the rate of change of position, which is determined by both the time taken and the distance covered. The direction of the object's movement is assumed to remain constant, so only the time and distance are needed to calculate velocity.
7.
An object moving at the same speed over a certain distance is said to be traveling at a_______________________.
Correct Answer
A. Constant Speed
Explanation
When an object is moving at the same speed over a certain distance, it is said to be traveling at a constant speed. This means that the object is maintaining a consistent velocity without any changes in its speed or direction. The object covers equal distances in equal intervals of time, indicating that it is moving at a steady rate.
8.
The speed of an object at any given point in time is the object's ___________________.
Correct Answer
B. Instantaneous Speed
Explanation
The speed of an object at any given point in time is referred to as its instantaneous speed. This term is used to describe the object's speed at a specific moment, rather than an average speed over a period of time. It provides information about the object's velocity at a precise instant, allowing for a more detailed understanding of its motion.
9.
Acceleration = Final Velocity – Initial Velocity / Time Speed = Distance/Time A truck leaves a warehouse and travels to another warehouse. The average speed of the truck is 70 miles per hour. It takes the truck 2.6 hours to complete the trip. What is the distance between the warehouses?
Correct Answer
C. 182 miles
Explanation
The formula to calculate speed is distance divided by time. In this case, the average speed of the truck is given as 70 miles per hour and the time taken to complete the trip is given as 2.6 hours. Therefore, to find the distance between the warehouses, we can use the formula distance = speed × time. Substituting the given values, we get distance = 70 miles/hour × 2.6 hours = 182 miles.
10.
Acceleration = Final Velocity – Initial Velocity / Time Speed = Distance/Time A family plans to go on a vacation to the beach which is 225 miles away. If the family drives at an averagespeed of 65 miles per hour, how many hours will it take for the family to reach the beach?
Correct Answer
B. 3.46 hours
Explanation
The family plans to drive a distance of 225 miles at an average speed of 65 miles per hour. To find the time it will take for the family to reach the beach, we can use the formula Speed = Distance/Time. Rearranging the formula to solve for time, we get Time = Distance/Speed. Substituting the given values, we have Time = 225 miles / 65 miles per hour = 3.46 hours. Therefore, it will take the family approximately 3.46 hours to reach the beach.
11.
Acceleration = Final Velocity – Initial Velocity / Time Speed = Distance/TimeA car is traveling at 50 miles per hour on the highway and accelerates to 75 miles per hour in 4.2 seconds.What is the rate of acceleration for the car?
Correct Answer
C. 5.95 mi/hr/s
Explanation
The rate of acceleration for the car can be calculated using the formula: Acceleration = (Final Velocity - Initial Velocity) / Time. In this case, the initial velocity is 50 miles per hour, the final velocity is 75 miles per hour, and the time is 4.2 seconds. Plugging these values into the formula, we get: Acceleration = (75 mi/hr - 50 mi/hr) / 4.2 s = 25 mi/hr / 4.2 s = 5.95 mi/hr/s. Therefore, the rate of acceleration for the car is 5.95 mi/hr/s.
12.
What is the speed of car A from 6 min to 10 min? What type of speed?
Correct Answer
A. 55mph, Constant Speed
Explanation
From the information given, it is stated that the speed of car A from 6 min to 10 min is 55mph. This indicates that the car maintained a constant speed of 55mph during that time period.
13.
What is the rate of acceleration for car A from 1 minute to 5 minutes?
Correct Answer
B. 10 mph/min
Explanation
The rate of acceleration for car A from 1 minute to 5 minutes is 10 mph/min. This means that the car's speed increases by 10 miles per hour every minute during this time period.
14.
What is the rate of acceleration for car B from 1 minute to 5 minutes?
Correct Answer
D. 13.75 mph/min
Explanation
The rate of acceleration for car B from 1 minute to 5 minutes is 13.75 mph/min. This means that the car's speed increases by an average of 13.75 miles per hour every minute during this time period.
15.
How fast is Car A traveling at the 4 minute mark?
Correct Answer
A. 40 mph
Explanation
The car is traveling at a speed of 40 mph at the 4 minute mark.
16.
Do any of the cars experience negative acceleration?
Correct Answer
B. Car B, min 6-7
Explanation
Car B experiences negative acceleration because it decelerates. The phrase "min 6-7" suggests that the car's speed decreases, indicating a negative acceleration. Car A, on the other hand, does not experience negative acceleration as it is not mentioned that it decelerates.
17.
What is Car B's rate of acceleration from minute 6 to minute 8?
Correct Answer
B. 0 mph/min
Explanation
The rate of acceleration is the change in velocity over time. If the rate of acceleration is 0 mph/min, it means that the velocity of Car B did not change between minute 6 and minute 8. This indicates that Car B maintained a constant speed during this time period and did not accelerate or decelerate.
18.
You are riding in a car traveling at a speed of 55 mph and the driver speeds up to pass a truck. The car accelerated to 70 mph as it passed the truck. It took 10 seconds to make the pass. The car's rate of acceleration passing the truck was__________________
Correct Answer
B. 1.5 m/s/s
Explanation
The car's rate of acceleration passing the truck was 1.5 m/s/s. This can be calculated using the formula for acceleration, which is the change in velocity divided by the time taken. In this case, the change in velocity is 70 mph - 55 mph = 15 mph. Converting this to meters per second, we get 15 mph * 0.44704 m/s = 6.71 m/s. Dividing this by the time taken of 10 seconds, we get an acceleration of 6.71 m/s / 10 s = 0.671 m/s/s. Rounding this to one decimal place, we get 0.7 m/s/s, which is approximately equal to 1.5 m/s/s.
19.
A car is traveling 65 miles per hour and hits a tree causing the car to stop in 1.3 seconds. What is the acceleration of the car?
Correct Answer
B. -50 m/h/s
Explanation
The car is traveling at a constant speed of 65 miles per hour. When it hits the tree, it comes to a stop in 1.3 seconds. Since the car stops, its final velocity is 0 miles per hour. The acceleration can be calculated using the equation a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time taken. Plugging in the values, we get a = (0 - 65) / 1.3 = -50 m/h/s. The negative sign indicates that the car is decelerating or slowing down.
20.
A cyclist must travel 800 km. How many days will the trip take if the cyclist travels 8 hours a day and an average speed of 16 km per hour?
Correct Answer
B. 6.25
Explanation
The cyclist is traveling at an average speed of 16 km per hour and traveling for 8 hours each day. To find the total time it will take to travel 800 km, we divide the total distance by the average speed: 800 km / 16 km/h = 50 hours. Since the cyclist is traveling for 8 hours each day, we divide the total time by 8 to find the number of days: 50 hours / 8 hours/day = 6.25 days. Therefore, the trip will take 6.25 days.
21.
A cyclist leaves home and rides due east a distance of 45 km and returns home on the same bike path. If the entire trip takes 4 hours, what is the rider's average speed?
Correct Answer
D. 22.5 km/hr
Explanation
The average speed can be calculated by dividing the total distance traveled by the total time taken. In this case, the cyclist traveled a distance of 45 km in one direction and then returned home, so the total distance traveled is 2 * 45 km = 90 km. The total time taken is given as 4 hours. Therefore, the average speed is 90 km / 4 hours = 22.5 km/hr.
22.
The best way to describe the rate of motion of an object that changes speed several times is to calculate the object's ____________________
Correct Answer
A. Average speed
Explanation
The rate of motion of an object that changes speed several times can be best described by calculating its average speed. Average speed takes into account the total distance traveled by the object and the total time taken, providing a measure of the overall speed over the entire journey. This is useful when the object's speed varies throughout its motion, as it provides a single value that represents the overall rate of motion.
23.
A constant velocity means acceleration is _____________.
Correct Answer
D. Zero
Explanation
A constant velocity means that there is no change in speed or direction over time. Since acceleration is the rate of change of velocity, a constant velocity implies that there is no acceleration. Therefore, the correct answer is zero.