Two stones are thrown simultaneously, one straight upward from the base of a cli

Question

Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The height of the cliff is 5.94 m. The stones are thrown the same speed of 8.32 m/s. Find the location (above the base of the cliff) of the point where the stones cross paths. Two stones are thrown simultaneously, one straight upward from the base of a cliff and the other straight downward from the top of the cliff. The height of the cliff is 5.94 m. The stones are thrown the same speed of 8.32 m/s. Find the location (above the base of the cliff) of the point where the stones cross paths.

Explanation / Answer

distnace travelled by the stone thrown from the base h1=ut-(1/2)gt2

distnace travelled by the stone thrown from the top   h2=ut+(1/2)gt2

total distance h=h1+h2

t=(h1+h2)/2u=h/2u=5.94/2x8.32=0.36 second

h1=8.32x0.36 - (1/2)x9.8x(0.36)2= 2.36 meter

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