# If a projectile is shot at an angle of #pi/6# and at a velocity of #28 m/s#, when will it reach its maximum height??

##### 1 Answer

Maximum height after release is achieved in approximately

#### Explanation:

Note that

Let upwards velocity be positive and due to initial projectile force

Let downward velocity be negative and due to gravity

Let time in seconds be

Let time at maximum height be

Let the unit second be represented as

Let the unit distance be represented by

Acceleration due to gravity is

Assumption: there is no drag or any other forces involved

The maximum height is when upward velocity equals downward velocity

Downward velocity at any instant

Maximum height is achieved at

Thus