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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. 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 ** ...

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 ** ...

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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