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A truck is travelling at a constant velocity of 22 m/s north. The driver sees a traffic light turn from red to green soon enough, so he does not have to alter his speed. Meanwhile, a woman in a sports car is stopped at the red light. At the moment the light turns green and the truck passes her, she begins to accelerate at 4.8 m/s^2. How far have both vehicles travelled when the sports car catches up with the truck and How long did it take?
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A truck is travelling at a constant velocity of 22 m/s north. The driv...
Given information:
Truck velocity: 22 m/s north
Sports car acceleration: 4.8 m/s^2
The truck maintains a constant velocity of 22 m/s north.

Calculating the time it takes for the sports car to catch up:
To determine how long it takes for the sports car to catch up with the truck, we need to find the time it takes for the sports car to reach the same velocity as the truck.

Using the equation of motion: v = u + at

Where:
v = final velocity
u = initial velocity
a = acceleration
t = time

For the sports car:
Initial velocity (u) = 0 m/s (since it was initially stopped at the red light)
Acceleration (a) = 4.8 m/s^2
Final velocity (v) = 22 m/s

Rearranging the equation to solve for time (t):
t = (v - u) / a

Substituting the values:
t = (22 m/s - 0 m/s) / 4.8 m/s^2
t ≈ 4.58 seconds

Therefore, it takes approximately 4.58 seconds for the sports car to catch up with the truck.

Calculating the distance traveled by both vehicles:
To find the distance traveled by both vehicles when the sports car catches up, we can use the equation of motion: s = ut + (1/2)at^2

For the truck:
Velocity (v) = 22 m/s
Time (t) = 4.58 seconds

Substituting the values:
s = (22 m/s)(4.58 s) + (1/2)(0)(4.58 s)^2
s ≈ 100.76 meters

The truck has traveled approximately 100.76 meters when the sports car catches up.

For the sports car:
Velocity (v) = 22 m/s
Acceleration (a) = 4.8 m/s^2
Time (t) = 4.58 seconds

Substituting the values:
s = (0 m/s)(4.58 s) + (1/2)(4.8 m/s^2)(4.58 s)^2
s ≈ 52.26 meters

The sports car has traveled approximately 52.26 meters when it catches up with the truck.

Summary:
- The sports car takes approximately 4.58 seconds to catch up with the truck.
- The truck has traveled approximately 100.76 meters, and the sports car has traveled approximately 52.26 meters when they meet.
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A truck is travelling at a constant velocity of 22 m/s north. The driver sees a traffic light turn from red to green soon enough, so he does not have to alter his speed. Meanwhile, a woman in a sports car is stopped at the red light. At the moment the light turns green and the truck passes her, she begins to accelerate at 4.8 m/s^2. How far have both vehicles travelled when the sports car catches up with the truck and How long did it take?
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A truck is travelling at a constant velocity of 22 m/s north. The driver sees a traffic light turn from red to green soon enough, so he does not have to alter his speed. Meanwhile, a woman in a sports car is stopped at the red light. At the moment the light turns green and the truck passes her, she begins to accelerate at 4.8 m/s^2. How far have both vehicles travelled when the sports car catches up with the truck and How long did it take? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A truck is travelling at a constant velocity of 22 m/s north. The driver sees a traffic light turn from red to green soon enough, so he does not have to alter his speed. Meanwhile, a woman in a sports car is stopped at the red light. At the moment the light turns green and the truck passes her, she begins to accelerate at 4.8 m/s^2. How far have both vehicles travelled when the sports car catches up with the truck and How long did it take? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A truck is travelling at a constant velocity of 22 m/s north. The driver sees a traffic light turn from red to green soon enough, so he does not have to alter his speed. Meanwhile, a woman in a sports car is stopped at the red light. At the moment the light turns green and the truck passes her, she begins to accelerate at 4.8 m/s^2. How far have both vehicles travelled when the sports car catches up with the truck and How long did it take?.
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