A driver driving along a highway at a steady 30 mph (44 ft/sec) sees an accident ahead and slams on the brakes. What constant deceleration is required to stop the car in 242 ft? To find out, carry out the following steps. (1) Solve the following initial value problem. d²s dt² IAL FI = -k (k constant), with (1) s= (2) Find the value of t that makes ds *** dt = 44 and s=0 when t = 0 ds -0. (The answer will involve k.) dt DIDE ** ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A driver driving along a highway at a steady 30 mph (44 ft/sec) sees an accident ahead and slams on the brakes. What constant deceleration
is required to stop the car in 242 ft? To find out, carry out the following steps.
(1) Solve the following initial value problem.
2
d²s
= -k (k constant), with
(1) s=
ds
dt²
(2) Find the value of t that makes
dt
= 44 and s=0 when t = 0
ds
= 0. (The answer will involve k.)
dt
In r
Transcribed Image Text:A driver driving along a highway at a steady 30 mph (44 ft/sec) sees an accident ahead and slams on the brakes. What constant deceleration is required to stop the car in 242 ft? To find out, carry out the following steps. (1) Solve the following initial value problem. 2 d²s = -k (k constant), with (1) s= ds dt² (2) Find the value of t that makes dt = 44 and s=0 when t = 0 ds = 0. (The answer will involve k.) dt In r
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