Projectile trajectory The position of a small rocket that islaunched vertically upward is given by s(t) = -5t2 + 40t + 100,for 0< t< 10, where t is measured in seconds and s is measuredin meters above the ground.a. Find the rate of change in the position (instantaneous velocity)of the rocket, for 0 < t < 10.b. At what time is the instantaneous velocity zero?c. At what time does the instantaneous velocity have the greatestmagnitude, for 0 <t < 10?d. Graph the position and instantaneous velocity, for 0 <t < 10.
Projectile trajectory The position of a small rocket that islaunched vertically upward is given by s(t) = -5t2 + 40t + 100,for 0< t< 10, where t is measured in seconds and s is measuredin meters above the ground.a. Find the rate of change in the position (instantaneous velocity)of the rocket, for 0 < t < 10.b. At what time is the instantaneous velocity zero?c. At what time does the instantaneous velocity have the greatestmagnitude, for 0 <t < 10?d. Graph the position and instantaneous velocity, for 0 <t < 10.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 30CR
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Projectile trajectory The position of a small rocket that is
launched vertically upward is given by s(t) = -5t2 + 40t + 100,
for 0< t< 10, where t is measured in seconds and s is measured
in meters above the ground.
a. Find the rate of change in the position (instantaneous velocity)
of the rocket, for 0 < t < 10.
b. At what time is the instantaneous velocity zero?
c. At what time does the instantaneous velocity have the greatest
magnitude, for 0 <t < 10?
d. Graph the position and instantaneous velocity, for 0 <t < 10.
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