Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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The movement of a particle from time t=0 to t=4 is given by the equation s(t)=−5t2−10t−6.
What is the instantaneous velocity of the particle at t=4?
What is the average velocity of the particle between t=0 and t=4?
What is the acceleration of the particle at t=4
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- Let y(t) be the height (in meters) after time t (in seconds) of a rover that is landing on some other planet with the help of a parachute. Taking into account gravity and air resistance, physicists suggest that the air resistance is proportional to velocity. Further data suggests that the fall can be modeled by y"=-5-3y'. If the parachute is released at a height of 600m with an initial velocity of 0m/s, what is its height after t seconds? What is its terminal velocity? y(t) = The terminal velocity is Submit m/s. m/sarrow_forward(a) E=1.5x10-12 J, Q = 1.6x10-19, V = ?arrow_forwardLet y(t) be the height (in meters) after time t (in seconds) of a rover that is landing on some other planet with the help of a parachute. Taking into account gravity and air resistance, physicists suggest that the air resistance is proportional to velocity. Further data suggests that the fall can be modeled by y"=-4-3y'. If the parachute is released at a height of 600m with an initial velocity of 0m/s, what is its height after t seconds? What is its terminal velocity? y(t) The terminal velocity is m/s. m/sarrow_forward
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