Question Detail

PHY 101 Kinematics in One Dimension Objective Question

Question

A ball is thrown vertically upward and returns to its starting point 8 seconds later. Neglecting air resistance, what was its initial speed? (g = 10 m/s²)
Options
A 20 m/s
B 40 m/s
Correct Answer
C 60 m/s
D 80 m/s
Correct Answer

Option B is the correct answer.

Detailed Explanation

The total time of flight for an object projected vertically upward and returning to its start point is T = 2v₀/g. Given T = 8 s and g = 10 m/s², we solve for v₀: 8 = 2v₀/10 => 80 = 2v₀ => v₀ = 40 m/s.

Hint

The total time of flight for a symmetric up-and-down trip is twice the time to reach the maximum height, which is related to initial velocity by t_up = v₀/g.

Question Info