Question Detail

PHY 101 Kinematics in One Dimension Objective Question

Question

A ball is thrown vertically upward with an initial speed of 20 m/s. Assuming g = 10 m/s², what is the time taken to reach the maximum height?
Options
A 1 s
B 2 s
Correct Answer
C 4 s
D 20 s
Correct Answer

Option B is the correct answer.

Detailed Explanation

At the maximum height, the vertical velocity v_y becomes 0. Using the equation v_y = v_{0y} - gt, where v_{0y} = 20 m/s and v_y = 0, we get 0 = 20 - 10t. Solving for t gives t = 20/10 = 2 s.

Hint

Use the first equation of motion for constant acceleration, v = v₀ + at, but remember that at the top, the velocity is zero and the acceleration is -g.

Question Info