A projectile is launched vertically upward from ground level
MATHEMATICS · Multi-part · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
A projectile is launched vertically upward from ground level. Its height (in feet) at time t seconds after launch is modeled by h(t)=−16t2+64t+5 for 0≤t≤4.
(1) In words, describe what the quantity 4−0h(4)−h(0) represents in the context of the projectile’s motion.
(2) Compute the value of the quantity described in part (a) and include appropriate units.
(3) Find every time c in (0,4) at which the projectile’s instantaneous velocity equals the average velocity calculated in part (b). Show all work leading to your answer(s).
(4) Interpret the physical meaning of each c found in part (c) with respect to the projectile’s flight, referencing both time and velocity.