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v. What is an appropriate (c) Sketch the graph of s(t), the speed function, on a separate graph from h(t) and v(t) using appropriate axes labels. i. Find the rocket's speed at t = 0,t = 15 and t = 18. ii. What is an appropriate domain for s(t)?

v. What is an appropriate (c) Sketch the graph of s(t), the speed function, on a separate graph from h(t) and v(t) using appropriate axes labels. i. Find the rocket's speed at t = 0,t = 15 and t = 18. ii. What is an appropriate domain for s(t)?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Please do all of c

Preparation for Lab 5 1. The formula h(t) = -16t² +480t, describes a model rocket's height. h(t) is the rocket's height measured in feet from the ground, t seconds after take-off. (a) Sketch the graph of h(t) for t≥ 0 using appropriate axes labels. i. Based on the graph of h(t) at what times is the rocket at ground level? ii. Explain how you determined the times for part (i). iii. What is an appropriate domain for h(t)? (b) Find the velocity function v(t) of the rocket. i. Sketch the graph of v(t) on a separate graph from h(t) using appropriate axes labels. ii. Interpret the graph of v(t) based on the rocket's actual motion. In other words, what does the graph of v(t) tell you about the original function h(t)? iii. Compute the rocket's velocity at t = 0, t = 15 and t = 18. iv. How do you interpret the signs of the values you obtained from part (iii)? v. What is an appropriate domain for v(t)? (c) Sketch the graph of s(t), the speed function, on a separate graph from h(t) and v(t) using appropriate axes labels. i. Find the rocket's speed at t = 0, t = 15 and t = 18. ii. What is an appropriate domain for s(t)?
Transcribed Image Text:Preparation for Lab 5 1. The formula h(t) = -16t² +480t, describes a model rocket's height. h(t) is the rocket's height measured in feet from the ground, t seconds after take-off. (a) Sketch the graph of h(t) for t≥ 0 using appropriate axes labels. i. Based on the graph of h(t) at what times is the rocket at ground level? ii. Explain how you determined the times for part (i). iii. What is an appropriate domain for h(t)? (b) Find the velocity function v(t) of the rocket. i. Sketch the graph of v(t) on a separate graph from h(t) using appropriate axes labels. ii. Interpret the graph of v(t) based on the rocket's actual motion. In other words, what does the graph of v(t) tell you about the original function h(t)? iii. Compute the rocket's velocity at t = 0, t = 15 and t = 18. iv. How do you interpret the signs of the values you obtained from part (iii)? v. What is an appropriate domain for v(t)? (c) Sketch the graph of s(t), the speed function, on a separate graph from h(t) and v(t) using appropriate axes labels. i. Find the rocket's speed at t = 0, t = 15 and t = 18. ii. What is an appropriate domain for s(t)?
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