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

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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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

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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.

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