A ball is thrown from the roof of a $100$ m high building at a speed of $10$ m$/$s making $30$ angles with the horizontal. A child waiting on the ground at the door of the building falls into a coma with a constant $($a$)$ acceleration in the same direction at the same time as the ball $($cos$30-0\mathrm{.}86$; sin$30-0\mathrm{.}5).$

a$)$Choose a coordinate system and write the equations of motion of the ball and the child.

b$)$Calculate the time it takes to reach the peak.

c$)$What is the maximum height reached?

d$)$Calculate the flight time of the ball until it hits the ground.

e$)$How far from the building does the ball fall?

f$)$What should the child's acceleration be so that she can catch the ball before it hits the ground?

Transcribed Image Text:

V=10m/s 100 m 30 a=? V=10m/s 100 m 30 a=?

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