(a)
To find: The time when ball hit the ground.
(a)
Answer to Problem 38RE
Explanation of Solution
Given: The height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is
The path of ball is
When ball hit the ground the value of s is 0.
Time can’t be negative.
Time of ball in air,
(b)
To find: The time when ball passes the roof when its way down.
(b)
Answer to Problem 38RE
Explanation of Solution
Given: The height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is
The path of ball is
When ball way equal to roof height then the value of s is 112.
Time of ball passes the roof when its lay down after
(c)
To find: The average speed of the ball from
(c)
Answer to Problem 38RE
Explanation of Solution
Given: The height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is
The average rate of change is change in s over change in t.
Average speed
Hence, the average speed of ball between 0 to 2 seconds is 64 ft/s
(d)
To find: The instantaneous speed of the ball at time t .
(d)
Answer to Problem 38RE
Explanation of Solution
Given: The height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is
The instantaneous speed of ball at time t is derivative of s.
Differentiate w.r.t t
(e)
To find: The instantaneous speed of the ball at time t=2 .
(e)
Answer to Problem 38RE
Explanation of Solution
Given: The height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is
The instantaneous speed of ball at time t is derivative of s.
Differentiate w.r.t t
At t=2
(f)
To find: The time when instantaneous speed is 0 .
(f)
Answer to Problem 38RE
Explanation of Solution
Given: The height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is
The instantaneous speed of ball at time t is derivative of s.
Differentiate w.r.t t
At t=2
(g)
To find: The instantaneous speed when ball passes the rooftop on the way down.
(g)
Answer to Problem 38RE
Explanation of Solution
Given: The height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is
After 6 s ball passes rooftop on the way down.
The instantaneous speed of ball at time t is derivative of s.
Differentiate w.r.t t
At t=6
(g)
To find: The instantaneous speed when ball strikes the ground.
(g)
Answer to Problem 38RE
Explanation of Solution
Given: The height s of a ball thrown straight up with an initial speed of 96 ft/sec from a rooftop 112 feet high is
After 7 s ball strikes the ground.
The instantaneous speed of ball at time t is derivative of s.
Differentiate w.r.t t
At t=7
Chapter 14 Solutions
Precalculus Enhanced with Graphing Utilities
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