# If a projectile is shot at an angle of #(3pi)/8# and at a velocity of #7 m/s#, when will it reach its maximum height?

##### 1 Answer

The projectile will reach the maximum height at time

#### Explanation:

The initial velocity of the projectile is inclined at an angle

Therefore the vertical motion which can be treated independently from the horizontal motion...will reach a point where its final velocity is zero.

and that instant is the position of maximum height.

The initial velocity component in the vertical direction is

So, we have

where

Therefore, the projectile will reach the maximum height at a

Substituting the values of