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Problem 10: A car starts at rest and moves along a perfectly straight highway with an acceleration of a₁ = 10 m/s² for a certain amount of time t₁. It then moves with constant speed (zero acceleration) for next t₂ seconds and finally decelerates with an acceleration a₂ = -10 m/s² for next time t3 seconds until it comes to a complete stop. The total time of motion is t₁ + t₂ + t3: = 25 s. The total distance travelled by the car is 1 km. Find t₂.

Problem 10: A car starts at rest and moves along a perfectly straight highway with an acceleration of a₁ = 10 m/s² for a certain amount of time t₁. It then moves with constant speed (zero acceleration) for next t₂ seconds and finally decelerates with an acceleration a₂ = -10 m/s² for next time t3 seconds until it comes to a complete stop. The total time of motion is t₁ + t₂ + t3: = 25 s. The total distance travelled by the car is 1 km. Find t₂.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Problem 10: A car starts at rest and moves along a perfectly straight highway with an acceleration of a₁ = 10 m/s² for a certain amount of time t₁. It then moves with constant speed (zero acceleration) for next t₂ seconds and finally decelerates with an acceleration a₂ = -10 m/s² for next time t3 seconds until it comes to a complete stop. The total time of motion is t₁ + t₂ + t3 = 25 s. The total distance travelled by the car is 1 km. Find t₂.
Transcribed Image Text:Problem 10: A car starts at rest and moves along a perfectly straight highway with an acceleration of a₁ = 10 m/s² for a certain amount of time t₁. It then moves with constant speed (zero acceleration) for next t₂ seconds and finally decelerates with an acceleration a₂ = -10 m/s² for next time t3 seconds until it comes to a complete stop. The total time of motion is t₁ + t₂ + t3 = 25 s. The total distance travelled by the car is 1 km. Find t₂.
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