Question

TRY IT! Problem ACCELERATION Describe a ball's motion as it rolls up a slanted driveway. It starts with an initial velocity of 1.25 m/s up the ramp. It travels upward, while slowing down, for 4.22 s, stops for an instant, and then rolls back down. What are the direction and the magnitude of the ball's acceleration as it rolls up the driveway? 1. ANALYZE AND SKETCH THE PROBLEM Set up the coordinate system Choose the positive direction to be up the driveway. Place the origin where the motion begins. KNOWNS UNKNOWN vi = 1.25 = ? vf = at t = 4.22 2. SOLVE FOR THE UNKNOWN Solve for the change in velocity and the time taken to make that change. Use the definition of acceleration.

          TRY IT!

Problem
ACCELERATION Describe a ball's motion as it rolls up a slanted driveway. It starts with an initial velocity of 1.25 m/s up the ramp. It travels upward, while slowing down, for 4.22 s, stops for an instant, and then rolls back down. What are the direction and the magnitude of the ball's acceleration as it rolls up the driveway?

1. ANALYZE AND SKETCH THE PROBLEM
Set up the coordinate system Choose the positive direction to be up the driveway. Place the origin where the motion begins.

KNOWNS UNKNOWN
vi = 1.25
 = ?
vf = at t = 4.22

2. SOLVE FOR THE UNKNOWN
Solve for the change in velocity and the time taken to make that change.

Use the definition of acceleration.

TRY IT!

Problem
ACCELERATION Describe a ball's motion as it rolls up a slanted driveway. It starts with an initial velocity of 1.25 m/s up the ramp. It travels upward, while slowing down, for 4.22 s, stops for an instant, and then rolls back down. What are the direction and the magnitude of the ball's acceleration as it rolls up the driveway?

1. ANALYZE AND SKETCH THE PROBLEM
Set up the coordinate system Choose the positive direction to be up the driveway. Place the origin where the motion begins.

KNOWNS UNKNOWN
vi = 1.25
= ?
vf = at t = 4.22

2. SOLVE FOR THE UNKNOWN
Solve for the change in velocity and the time taken to make that change.

Use the definition of acceleration.

Added by Juan Antonio P.

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