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A driver of a car travelling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5s. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 10s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?
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A driver of a car travelling at 52 km/h applies the brakes and acceler...
Speed versus Time Graphs for Two Cars
Car 1: Travelling at 52 km/h
- Initial speed = 52 km/h
- Acceleration = -10.4 m/s^2 (since the car is decelerating in the opposite direction)
- Time taken to stop = 5 s
- The equation of motion for the car can be written as: v = u + at, where v is the final speed, u is the initial speed, a is the acceleration, and t is the time taken.
- Using the above equation, we can plot the speed versus time graph for the car as follows:
Car 2: Travelling at 3 km/h
- Initial speed = 3 km/h
- Acceleration = -0.3 m/s^2 (since the car is decelerating)
- Time taken to stop = 10 s
- Using the same equation of motion as above, we can plot the speed versus time graph for the car as follows:
Which car travelled farther?
Since both cars came to a complete stop, the distance travelled by each car can be calculated using the equation: s = ut + (1/2)at^2, where s is the distance travelled, u is the initial speed, a is the acceleration, and t is the time taken.
Calculating the distances travelled by each car, we get:
- Car 1: 67.6 m
- Car 2: 4.5 m
Therefore, car 1 travelled farther after the brakes were applied.
Community Answer
A driver of a car travelling at 52 km/h applies the brakes and acceler...
First one will go further
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A driver of a car travelling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5s. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 10s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?
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A driver of a car travelling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5s. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 10s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A driver of a car travelling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5s. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 10s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A driver of a car travelling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5s. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 10s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?.
A driver of a car travelling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5s. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 10s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A driver of a car travelling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5s. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 10s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A driver of a car travelling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5s. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 10s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?.
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