# Question #b1245

##### 1 Answer

#### Explanation:

Using Equation of motion:

If g is taken to be the acceleration due to gravity, its direction being positive when an object is traveling downwards, the equation of motion, giving the height of the object, in the given case would be

Initial velocity is given to be

Using calculus

If y represents the distance traveled in time t , then velocity of the object would be

Since the object is moving upwards under force of gravity, the acceleration due to gravity would be -g.

Thus

Integrating once again would give

The required equation is thus