A ball is tossed from an upper-story window of a building. Theball is given an i

Question

A ball is tossed from an upper-story window of a building. Theball is given an initial velocity of 9.10 m/s at an angle of 19.0° below thehorizontal. It strikes the ground 4.00s later.

Find the height from which the ball wasthrown.
________________m
How long does it take the ball to reach a point 10.0 m below thelevel of launching?
__________s A ball is tossed from an upper-story window of a building. Theball is given an initial velocity of 9.10 m/s at an angle of 19.0° below thehorizontal. It strikes the ground 4.00s later.

Find the height from which the ball wasthrown.
________________m
How long does it take the ball to reach a point 10.0 m below thelevel of launching?
__________s

Explanation / Answer

velocity of the ball: for vertical direction: Vy=9.1*sin19 +g*t => y(t)=9.1*t*sin19 +g*t2/2 (1) for horizontal direction: Vx=9.1*cos19 with t=4 s; from (1)=> height=90.2 (m) at y(t)=10 => t=1.158 s (t>0, ignored thenegative value)

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