A driver driving along a highway at a steady 49 mph (72 ft/sec) sees an accident ahead and slams on the brakes. What constant deceleration is required to stop the car in 288 ft? (1) Solve the following initial value problem. d's = -k (k constant), with dr? ds = 72 and s= 0 when t=0 dt ds (2) Find the value of t that makes = 0. (The answer will involve k.) dt (3) Find the value of k that makes s= 288 for the value oft found in the step (2). (1) s=

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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
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A driver driving along a highway at a steady 49 mph.... (please refer to image)

Please make sure to answer all 3 problems listed. Thank you.

A driver driving along a highway at a steady 49 mph (72 ft/sec) sees an accident ahead and slams on the brakes. What constant deceleration is required to stop the car in 288 ft?
(1) Solve the following initial value problem.
d's
= -k (k constant), with
dt
ds
= 72 and s= 0 when t= 0
dt
%3D
%D
%3D
ds
(2) Find the value of t that makes
= 0. (The answer will involve k.)
dt
(3) Find the value of k that makes s = 288 for the value of t found in the step (2).
(1) s =
D
Transcribed Image Text:A driver driving along a highway at a steady 49 mph (72 ft/sec) sees an accident ahead and slams on the brakes. What constant deceleration is required to stop the car in 288 ft? (1) Solve the following initial value problem. d's = -k (k constant), with dt ds = 72 and s= 0 when t= 0 dt %3D %D %3D ds (2) Find the value of t that makes = 0. (The answer will involve k.) dt (3) Find the value of k that makes s = 288 for the value of t found in the step (2). (1) s = D
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