How can you use the definition of acceleration to explain the units in which acceleration is measured?

What are the SI units of acceleration?

Which of the following statements explains why a racecar going around a curve is accelerating, even if the speed is constant?

A student calculated the final velocity of a train that decelerated from 30.5 m/s and got an answer of −43.34 m/s. Which of the following might indicate that he made a mistake in his calculation?

Which kinematic equation would you use to find the velocity of a skydiver 2.0\,\text{s} after she jumps from a plane and before she opens her parachute? Assume the positive direction is downward.

Imagine that a car is traveling from your left to your right at a constant velocity. Which two actions could the driver take that may be represented as (a) a velocity vector and an acceleration vector both pointing to the right and then (b) changing so the velocity vector points to the right and the acceleration vector points to the left?

A motorcycle moving at a constant velocity suddenly accelerates at a rate of 4.0 m/s^2 to a speed of 35 m/s in 5.0 s. . What was the initial speed of the motorcycle?

A student is asked to solve a problem: An object falls from a height for 2.0 s, at which point it is still 60 m above the ground. What will be the velocity of the object when it hits the ground? Which of the following provides the correct order of kinematic equations that can be used to solve the problem?

Skydivers are affected by acceleration due to gravity and by air resistance. Eventually, they reach a speed where the force of gravity is almost equal to the force of air resistance. As they approach that point, their acceleration decreases in magnitude to near zero. Part A. Describe the shape of the graph of the magnitude of the acceleration versus time for a falling skydiver. Part B. Describe the shape of the graph of the magnitude of the velocity versus time for a falling skydiver. Part C. Describe the shape of the graph of the magnitude of the displacement versus time for a falling skydiver.

Which graph in the previous problem has a positive slope?

The driver of a sports car traveling at 10.0 m/s steps down hard on the accelerator for 5.0 s and the velocity increases to 30.0 m/s. What was the average acceleration of the car during the 5.0 s time interval?

A girl rolls a basketball across a basketball court. The ball slowly decelerates at a rate of −0.20 m/s^2. If the initial velocity was 2.0 m/s and the ball rolled to a stop at 5.0 sec after 12:00 p.m., at what time did she start the ball rolling?

A swan on a lake gets airborne by flapping its wings and running on top of the water. If the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at an average rate of 0.350 m/s^2, how far will it travel before becoming airborne?

A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 4.00\,\text{m/s} and her takeoff point is 8\,\text{m} above the pool. How long are her feet in the air?

Which variable represents displacement?

If a velocity increases from 0 to 20 m/s in 10 s, what is the average acceleration?

For the motion of a falling object, which graphs are straight lines?

A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate of 6.30×10^5 m/s^2 for 8.10×10^−4 s. What is the bullet’s final velocity when it leaves the barrel, commonly known as the muzzle velocity?

True or False—The vector for a negative acceleration points in the opposite direction when compared to the vector for a positive acceleration.

If a car decelerates from 20 m/s to 15 m/s in 5 s, what is Delta v?

How is the vector arrow representing an acceleration of magnitude 3 m/s^2 different from the vector arrow representing a negative acceleration of magnitude 3 m/s^2?

How long does it take to accelerate from 8.0 m/s to 20.0 m/s at a rate of acceleration of 3.0 m/s^2?

If a plot of displacement versus time is linear, what can be said about the acceleration?

When is a plot of velocity versus time a straight line and when is it a curved line?

A test car carrying a crash test dummy accelerates from 0 to 30 m/s and then crashes into a brick wall. Describe the direction of the initial acceleration vector and compare the initial acceleration vector’s magnitude with respect to the acceleration magnitude at the moment of the crash.

A car accelerates from rest at a stop sign at a rate of 3.0 m/s^2 to a speed of 21.0 m/s, and then immediately begins to decelerate to a stop at the next stop sign at a rate of 4.0 m/s^2. How long did it take the car to travel from the first stop sign to the second stop sign? Show your work.

True or False—Consider an object moving with constant acceleration. The plot of displacement versus time for such motion is a curved line while the plot of displacement versus time squared is a straight line.

You throw a ball straight up with an initial velocity of 15.0 m/s. It passes a tree branch on the way up at a height of 7.00 m. How much additional time will pass before the ball passes the tree branch on the way back down?