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| PAGE: 895 | SET: Exercises | PROBLEM: 30 |
Consider the initial vertical component of the velocity is 
.
The vertical acceleration of the projectile is 
.
The velocity of the projectile is 
.
Vertical velocity of the projectile when it reaches the maximum height is 
.
.
.
The time taken by projectile to reach the maximum height is 
.
The distance travelled by the projectile is 
.
Substitute 
.
.
The height reached by projectile in half the time required to reach the maximum height is
.
substitute 
.
.
Therefore, a projectile reaches three quarters of its maximum height in half the time needed to reach its maximum height.
A projectile reaches three quarters of its maximum height in half the time needed to reach its maximum height.
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