Question

a baseball is thrown into the air with an initial velocity of 11.0 m/s. which of the following are true about the motion of the ball?
check all that apply.

v_b = ______

v_a = 11.0 m/s
v_c = ______

□ the velocity at location b is 0 m/s
□ the velocity at location c is 0 m/s
□ the object speeds up when moving from position a to b
□ the object speeds up when moving from position b to c

Explanation:

Step1: Analyze velocity at B

When a projectile (baseball) reaches its maximum height (location B), its vertical velocity becomes 0 m/s (horizontal velocity, if any, remains, but here motion is vertical). So \( V_B = 0 \, \text{m/s} \), so the first statement is true.

Step2: Analyze velocity at C

Location C is at the same vertical level as A (assuming no air resistance, conservation of energy). The velocity at C should be equal in magnitude to \( V_A \) but opposite in direction (downward), so \( V_C=- 11.0 \, \text{m/s} \) (not 0), so the second statement is false.

Step3: Analyze motion from A to B

From A to B, the ball is moving upward, and gravity is acting downward, so the acceleration is opposite to the velocity. This means the ball is slowing down (decelerating) as it moves from A to B, so the third statement is false.

Step4: Analyze motion from B to C

From B to C, the ball is moving downward, and gravity is acting downward, so the acceleration is in the same direction as the velocity. This means the ball is speeding up as it moves from B to C, so the fourth statement is true.

Answer:

• The velocity at location B is 0 m/s
• The object speeds up when moving from position B to C