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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.°

User Snobojohan
by
7.7k points

2 Answers

3 votes

Answer:

(4) 90.°

Step-by-step 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.

User Cameron Aavik
by
7.8k points
4 votes
It should be thrown at a 90 degree angle (4) which is the same as throwing it straight up
User Sandee
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7.8k points