: 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:: 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.
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