Problem1 A ball is thrown horizontally from the roof of a building 7.5 m tall an

Question

Problem1 A ball is thrown horizontally from the roof of a building 7.5 m tall and lands 9.5 m from the base. What was the ball's initial speed? Problem 2 A ball thrown horizontally at 12.2 m/s from the roof of a building lands 21.0 m from the base of the building. How high is the building? Problem 3 A baseball is hit with a speed of 27.0 m/s at an angle of 45.0°. It lands on the flat roof of a 13.0-m-tall nearby building. If the ball was hit when it was 1.0 m above the ground, what horizontal distance does it travel before it lands on the building? Problem 4 Show that the range of a projectile fired from the top of a cliff of height h at an angle above the horizontal with initial velocity vo is 2gh sin2 sin(20) Problem 5 Check that Equation 1 reduces to the Level horizontal range formula Rsin(20) when the height of the cliff h is set to zero.

Explanation / Answer

Here ,

let the time of flight is t

h = 7.5m

Using second equation of motion

h = 0.50 * gt^2

7.5 = 0.50 * 9.8 * t^2

solving for t

t = 1.24 s

Now, ball's initial speed = initial speed/t

ball's initial speed = 9.5/1.24

ball's initial speed = 7.67 m/s

the ball's initial speed is 7.67 m/s

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