A ball is thrown horizontally with an initial velocity of 40 m/s from a height of 10 m. How long will it take for the ball to touch the ground? Use g = 10 m/s². A) 0.70 second B) 1.0 second C) 2.0 seconds D) 1.4 seconds E) 2.4 seconds

Question

Quizplus · Accepted Answer

We can solve for the time by using the kinematic equation:
y = ut + 1/2at^2
where y = 10 m (initial height), u = 0 (horizontal initial velocity), a = g = 10 m/s^2,
and t = time

Solving for t, we get:
10 = 0(t) + 1/2(10)(t^2)
t^2 = 2
t = √2 ≈ 1.4 seconds

Therefore, the answer is D) 1.4 seconds.

A Ball Is Thrown Horizontally with an Initial Velocity of 40