2. A playground is on the flat roof of a city school 5.9 m above the street belo

Question

2.

A playground is on the flat roof of a city school 5.9 m above the street below see figure The ver a wall of the building is h 7.40 m híg·forming a 15 -high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching t at an angle of e 53.0% abo e ne horizontal at a point d 24 m from the base of he building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. (Give your answer to two decimal places to reduce rounding errors in later parts.) 18.13 m/s (b) Find the vertical distance by which the ball clears the wall 74 (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. Enter a number differs from the correct answer by more than 10%. Double check your calculations. m

Explanation / Answer

Question 1) Given , H = 13.3 ft = 4.054 m , angle() = 47.5°

Let u be the speed

Using the formula,

H = u^2*sin^2()/2g (for maximum height (H))

u^2 = 2gH/sin^2()

Substituting the values ,

u^2 = 2*9.8*4.054/sin^2(47.5°)

u^2 = 146.177

u = 12.09 m/s

Thus , the speed is 12.09 m/s

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