Question

A particle is projected vertically upwards from the ground with velocity 10 m/s. Find the time taken by it to reach at the highest point

Answer 1

You can also ask the inverse: if you let a particle drop with zero initial speed, how long does it take until it reaches a velocity of 10 m/s?

v(t)=g⋅t+v0v(t)=g⋅t+v0

t=v(t)−v0gt=v(t)−v0g

Plug in v(t)=10msv(t)=10ms, v0=0msv0=0ms and g=9.81ms2g=9.81ms2 and you‘ll get t≈1.01937st≈1.01937s.