Question

How high will the ball go? I would really appreciate a step by step answer!

Answer 1

y = 3.26 [m]

Step-by-step explanation:

In order to solve this problem, we must use the following equation of kinematics.

`v_(f)^(2)= v_(o)^(2)-2*g*y`

where:

Vf = final velocity = 0

Vo = initial velocity = 8 [m/s]

g = gravity acceleration = 9.81 [m/s²]

y = elevation [m]

Note: The negative sign in the equation above represents that the movement is againts the direction of the gravity acceleration.

Now replacing:

`0=8^(2) -2*9.81*y\\19.62*y=64\\y=3.26 [m]`