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On the moon, a feather will fall to the ground at the same rate as a heavy stone. Suppose a feather is dropped from a height of $40 \mathrm{m}$ above the surface of...

Question

On the moon, a feather will fall to the ground at the same rate as a heavy stone. Suppose a feather is dropped from a height of $40 \mathrm{m}$ above the surface of the moon. Then, its height $s$ (in meters) above the ground after $t$ seconds is $s=40-0.8 t^{2} .$ Determine the velocity and acceleration of the feather the moment it strikes the surface of the moon.

On the moon, a feather will fall to the ground at the same rate as a heavy stone. Suppose a feather is dropped from a height of $40 \mathrm{m}$ above the surface of the moon. Then, its height $s$ (in meters) above the ground after $t$ seconds is $s=40-0.8 t^{2} .$ Determine the velocity and acceleration of the feather the moment it strikes the surface of the moon.



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If a ball is thrown into the air with a velocity of $ 40 ft/s $, its height (in feet) after $ t $ seconds is given by $ y = 40t - 16t^2 $. Find the velocity when $ t = 2 $.


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