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a car is moving at a uniform speed of 72 km/h the driver sees a child at a distance of 50 meter.He applies brakes to stop the car just before the child calculate acceleration
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a car is moving at a uniform speed of 72 km/h the driver sees a child ...
Calculation of Acceleration of a Car
Given:
- Speed of the car = 72 km/h
- Distance of the child from the car = 50 meters
Formula to calculate acceleration:
Acceleration = (Final Velocity - Initial Velocity) / Time Taken
Calculating Initial Velocity:
Initial Velocity = Speed of the car = 72 km/h = 20 m/s
Calculating Final Velocity:
- Final Velocity = 0 m/s (As the car comes to a stop)
Calculating Time Taken:
- Time taken = Distance / Speed
- Distance = 50 meters
- Speed = 20 m/s (Converted from 72 km/h)
- Time Taken = 50 / 20 = 2.5 seconds
Calculating Acceleration:
- Acceleration = (Final Velocity - Initial Velocity) / Time Taken
- Acceleration = (0 - 20) / 2.5
- Acceleration = -8 m/s²
Explanation of the Result:
The negative sign in the acceleration indicates that the car is decelerating or slowing down. The magnitude of the acceleration is 8 m/s², which means that the car is slowing down by 8 meters per second every second. This is a significant braking force and the driver must be careful to avoid accidents in such situations.
Community Answer
a car is moving at a uniform speed of 72 km/h the driver sees a child ...
V= 72×1000/60×60
v=20m
u=0
s=50m
a=?
v2=u2+2as
(20)2=0+2×a×50
400=100a
a=4m
v=20m
u=0
s=50m
a=?
v2=u2+2as
(20)2=0+2×a×50
400=100a
a=4m
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a car is moving at a uniform speed of 72 km/h the driver sees a child at a distance of 50 meter.He applies brakes to stop the car just before the child calculate acceleration
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