A penny is released from rest from top of a building at a point that is 1500 fee

Question

A penny is released from rest from top of a building at a point that is 1500 feet above the ground. Assume that there is no air resistance and no drag. Also assume that the free-fall model applies i.e., s(t)-s, +v-Lgt, v(t)-vo -gt; s(t)- dis tance and v(t)-velocity, how long does it take for the penny to hit the ground (round to nearest tenth, if necessary) and what is its speed at the time of impact (round to nearest whole number)? Use g 32 feet / sec ond2. Note: vo 0 because the penny is released from rest.(2 points each)

Explanation / Answer

s(t)=s0+v0+(1/2)gt2

v0=0

s0=1500

s(t)=1500-(1/2)32t2 = -16t2+1500

Hit the ground means s(t)=0

0=-16t2+1500

t=9.7 secs

So it hits the ground after 9.7 secs

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