Two projectiles are fired at equal speeds but different angles.One is fired at an angle of 30° and the other at 60°.With no air resistance,the projectile to hit the ground first will be the one fired at
A)30°.
B)60°.
C)both hit at the same time

Question

Quizplus · Accepted Answer

Both projectiles will have the same initial speed and will experience the same acceleration due to gravity, therefore the only factor to consider is the initial angle of elevation. 
The projectile fired at 30° will have both a horizontal and vertical component of velocity while the one fired at 60° will have a larger vertical component and a smaller horizontal component. The vertical component of velocity determines the time of flight and the maximum height reached by the projectile, while the horizontal component determines the range. 
Since the projectiles have the same initial speed, the one fired at 30° will have a larger horizontal component and therefore a larger range, but it will also have a smaller vertical component and a shorter time of flight. This means that it will hit the ground first than the one fired at 60°, which will spend more time in the air due to its larger vertical component of velocity. Therefore, the correct choice is A)30°.

Two Projectiles Are Fired at Equal Speeds but Different Angles