Question

The ball is released exactly 40 m above the ground with a purely vertical velocity of 20 m/s. Approximately how long will it take to reach its maximum height? Round to the nearest 1/100 of a second.

A. 2.92 seconds
B. 2.93 seconds
C. 2.94 seconds
D. 2.95 seconds

Answer 1

The ball will take approximately 2.04 seconds to reach its maximum height.

Step-by-step explanation:

To find the time it takes for the ball to reach its maximum height, we can use the fact that the maximum height is reached when the vertical velocity of the ball becomes zero.

Using the equation v = u + at, where v represents final velocity, u represents initial velocity, a represents acceleration, and t represents time, we can set v to 0 and solve for t:

0 = 20 - 9.8t

t = 2.04 seconds

Rounding to the nearest 1/100 of a second, the ball will take approximately 2.04 seconds to reach its maximum height.