Question

24. A soccer ball is kicked straight up into the air with a velocity of 10 m/s. How much time does it take the ball to reach its maximum height? (g = 10 m/s^2)

A 2 sec
B 100 sec
C 1.4 sec
D 1 sec​

Answer 1

D. Time t = 1 [s]

Step-by-step explanation:

To solve this problem we must use the following equation of kinematics.

`v_(f)=v_(o)-g*t`

where:

Vf = final velocity = 0 (when the ball reaches the maximum height its elevation won't be increased since the velocity is zero)

vi = initial velocity = 10 [m/s]

g = gravity acceleration = 10 [m/s²]

t = time [s]

Now replacing:

`0 = 10-10*t\\10 = 10*t\\t = 1 [s]`