General: Maximum Height If a bullet from a 9-millimeter pistol is fired straight up from the ground, its height t seconds after it is fired will be s(t) = -16t2+1280t feet (neglecting air resistance) for 0 ≤ t ≤ 80.
a. Find the velocity function.
b. Find the time t when the bullet will be at its maximum height. [Hint: At its maximum height the bullet is moving neither up nor down, and has velocity zero. Therefore, find the time when the velocity v(t) equals zero.]
c. Find the maximum height the bullet will reach. [Hint: Use the time found in part (b) together with the height function s(t).]
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