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A car and a truck leave the same place and travel in the same direction along a straight road. The car starting from rest speeds up to 24 kph with a constant acceleration of 1/6 m/s² and then runs at this speed. The truck leaves 40 seconds after the car with a uniform acceleration of 1/3 m/s² from rest to attain a speed of 48 kph and then travels at this speed. How soon after the car started will the truck overtake the car?

A car and a truck leave the same place and travel in the same direction along a straight road. The car starting from rest speeds up to 24 kph with a constant acceleration of 1/6 m/s² and then runs at this speed. The truck leaves 40 seconds after the car with a uniform acceleration of 1/3 m/s² from rest to attain a speed of 48 kph and then travels at this speed. How soon after the car started will the truck overtake the car?

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 car and a truck leave the same place and travel in the same direction along a straight road. The car starting from rest speeds up to 24 kph with a constant acceleration of 1/6 m/s² and then runs at this speed. The truck leaves 40 seconds after the car with a uniform acceleration of 1/3 m/s² from rest to attain a speed of 48 kph and then travels at this speed. How soon after the car started will the truck overtake the car?
Transcribed Image Text:A car and a truck leave the same place and travel in the same direction along a straight road. The car starting from rest speeds up to 24 kph with a constant acceleration of 1/6 m/s² and then runs at this speed. The truck leaves 40 seconds after the car with a uniform acceleration of 1/3 m/s² from rest to attain a speed of 48 kph and then travels at this speed. How soon after the car started will the truck overtake the car?
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