: Brandon throws a 16-pound shot from a height of 5 feet with an initial velocity of 40 feet per second at an angle of 1 radians. The motion of the shot put can be modeled by the parametric equations given below. (x(t) = 20 √2t (y(t)=-16t² + 20√√2t+5 Find the time, t in seconds that the shot put is at a maximum. Show your work. What is the maximum vertical height of the shot, in feet, to the nearest tenth? Consider a very small interval of time between this maximum height, such that you are +0.01 second on either side of this maximum from Part A. Calculate the average rate of change for x(t) and y(t) on this small interval of time. Show your work.
: Brandon throws a 16-pound shot from a height of 5 feet with an initial velocity of 40 feet per second at an angle of 1 radians. The motion of the shot put can be modeled by the parametric equations given below. (x(t) = 20 √2t (y(t)=-16t² + 20√√2t+5 Find the time, t in seconds that the shot put is at a maximum. Show your work. What is the maximum vertical height of the shot, in feet, to the nearest tenth? Consider a very small interval of time between this maximum height, such that you are +0.01 second on either side of this maximum from Part A. Calculate the average rate of change for x(t) and y(t) on this small interval of time. Show your work.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 2ECP
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