A body moves from rest from a point A. it moves to another point B in 10s, the motion being accelerated one and achieves a velocity 60m/s at B.it then moves on to C with the uniform velocity for 20s when it is immediately brought to rest . draw a graph showing the complete motion and calculate the total distance travelled?
Answers

The total distance traveled by car is 1800 meters.
GIVEN
Time is taken from point A to B = 10sec
Velocity at point B = 60m/s
Time is taken from point B to C = 20sec
TO FIND
Total distance traveled by car.
SOLUTION
We can simply solve the above problem as follows -
Please Refer To The Picture For The Graph.
To plot a velocity-time graph of the motion of the car.
The time is plotted on the positive X-axis and velocity is plotted on the positive Y-axis.
We know that,
The area covered by the velocity time graph is equal to the distance covered by the body in one-dimensional motion.
So, Area of the graph = Area of triangle ABP + Area of rectangle BCQP + Area of triangle QCD.
=1800 meters.
Hence, The total distance traveled by car is 1800 meters.
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