Question

Derive a relation for the time taken by a projectile to reach the highest point and the maximum height attained.

Answer 1

At the highest point A, vertical component of v is 0

v^2-u^2=2as where v is final velocity, u is initial velocity,a is acceleration,s is distance

v^2-u^2=2as

O^2-usinΦ^2=2(-g) h

h=u^2sin^2Φ/2g

H=u^2sin^2Φ/2g

Diagram of projectile motion