Question

Can someone help me find the initial velocity?

Answer 1

`v_i=4.12\ m/s`

Step-by-step explanation:

Given that,

Final velocity,
`v_f=0\ m/s`

Acceleration,
`a=-9.8\ m/s^2`

Displacement,
`\Delta x = 0.87\ m`

We need to find the initial velocity of the large hopper.

Using the third equation of motion as follows :

`v_f^2=v_i^2+2a\Delta x\\\\0=v_i^2+2* (-9.8)* 0.87\\\\v_i^2-17.052=0\\\\v_i=4.12\ m/s`

So, the initial velocity of the large hopper is 4.12 m/s.