Example 1: Vikram builds a trebuchet as a science project. The trebuchet launches a small rock upwards. the height of the rock, k (in metres) with respect to time, t (in seconds) is given by the following equation: h(t)=-5t² + 40t + 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Example 1: Vikram builds a trebuchet as a science project. The trebuchet launches a small rock upwards.
The height of the rock, h (in metres) with respect to time, t (in seconds) is given by the following
equation: h(t) = -5t² + 40t +1
a. Provide the geometric interpretation of the equation: 3
h(5)-h(2)
b. Determine the average velocity of the rock between 2 and 5 seconds.
C. Determine the instantaneous velocity of the rock at 6 seconds
d. At what time does the rock hit the ground?
e. How fast is the rock moving when it hits the ground?
Transcribed Image Text:Example 1: Vikram builds a trebuchet as a science project. The trebuchet launches a small rock upwards. The height of the rock, h (in metres) with respect to time, t (in seconds) is given by the following equation: h(t) = -5t² + 40t +1 a. Provide the geometric interpretation of the equation: 3 h(5)-h(2) b. Determine the average velocity of the rock between 2 and 5 seconds. C. Determine the instantaneous velocity of the rock at 6 seconds d. At what time does the rock hit the ground? e. How fast is the rock moving when it hits the ground?
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