A ball is thrown with an initial speed of 10. meters

per second. At what angle above the horizontal

should the ball be thrown to reach the greatest

height?

(1) 0° (3) 45°

(2) 30.° (4) 90.°

Verified Answer :

It should be thrown at a 90 degree angle (4) which is the same as throwing it straight up

Answer:

(4) 90.°

Explanation:

The maximum height reached by the ball depends on the vertical velocity of the ball: the greater the vertical velocity of the ball, the higher the ball will go.

The vertical component of the velocity of the ball is given by:

\(v_y = v_0 sin \theta\)

where

\(v_0 = 10 m/s\) is the initial speed of the ball

\(\theta\) is the angle at which the ball is thrown

Therefore, \(v_y\) will be maximum when \(sin \theta =1\). And by solving this equation, we find that the angle that satisfies this condition is \(\theta=90^{\circ}\), which corresponds to throwing the ball straight up.