A ball will be thrown to hit a target standing on the ground at a distance of 100 m from the roof of a 20 m high building. The shooter stands on the roof near the target of the building. a) What should be the initial velocity of the ball thrown horizontally to hit the target? b) If the ball is thrown at an angle of 37 ° with the horizontal, what should be its initial speed to hit the target?
A ball will be thrown to hit a target standing on the ground at a distance of 100 m from the roof of a 20 m high building. The shooter stands on the roof near the target of the building. a) What should be the initial velocity of the ball thrown horizontally to hit the target?
b) If the ball is thrown at an angle of 37 ° with the horizontal, what should be its initial speed to hit the target?
(a) The figure below shows the situation in the question
Let the initial horizontal velocity, vertical displacement and horizontal displacement of ball be denoted as v0(x), S(y) and S(x).
Let the time taken by the ball to hit the target be denoted as t.
Applying the following equation of motion in vertical direction. (Downward direction is taken as negative)
Now, applying equation of motion in horizontal direction.
This is the horizontal velocity with which ball must be thrown.
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