Answer:
Speed of the 100 kg crate, v = 136 m/s
Step-by-step explanation:
It is given that,
Force exerted by a motor, F = (600+2 s²) N
mass of the crate, m = 100 kg
We have to find the speed of the crate. Force is given by the product of mass and acceleration.
F = m a
g is acceleration due to gravity




or
s"- 6 - 0.02 s² = 0
On solving the above differential equation using calculator with when initially the crate is at rest s(0) = 0 and s'(0) = 15 m

Differentiating above equation w.r.t t to get velocity of the crate.
So, v = 136 m/s
Hence, this is the required solution.