(c) At what time do they have the same velocity? 13. If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds is given by y = 40t - 16t².

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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#13

lọc-
OC-
(a) Describe and compare how the runners run the race.
(6) At what time is the distance between the runners the
t is
the
greatest?
(c) At what time do they have the same velocity?
all
13. If a ball is thrown into the air with a velocity of 40 ft/s, its
height (in feet) after t seconds is given by y = 40t – 16t2.
Find the velocity when t = 2.
ne
of
).
h
14. If a rock is thrown upward on the planet Mars with a velocity
of 10 m/s, its height (in meters) after t seconds is given by
H= 10t-1.86t².
(a) Find the velocity of the rock after one second.
(b) Find the velocity of the rock when t = a.
(c) When will the rock hit the surface?
%3D
(d) With what velocity will the rock hit the surface?
15. The displacement (in meters) of a particle moving in a straight
Transcribed Image Text:lọc- OC- (a) Describe and compare how the runners run the race. (6) At what time is the distance between the runners the t is the greatest? (c) At what time do they have the same velocity? all 13. If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds is given by y = 40t – 16t2. Find the velocity when t = 2. ne of ). h 14. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H= 10t-1.86t². (a) Find the velocity of the rock after one second. (b) Find the velocity of the rock when t = a. (c) When will the rock hit the surface? %3D (d) With what velocity will the rock hit the surface? 15. The displacement (in meters) of a particle moving in a straight
Expert Solution
Step 1

Given query is to find the velocity of the ball.

We will use derivative to find the velocity.

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