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option b is right
TO FIND:
the maximum speed, V
KEY POINTS:
- the given graph is acceleration time graph.
- area under acceleration time graph gives change in velocity of the particle.
- the change in velocity will be area of the triangle.
- area of triangle =(1/2)bh
where b is the base and h is height.
- here base represents time, and height represents acceleration.
POINT TO NOTICE:
- at t=0 sec, acceleration , a is 10 m/s^2. there velocity is maximum.
- at t=11 s ,the acceleration , a is zero. so the velocity is zero.
SOLUTION:
CHANGE IN VELOCITY = AREA OF GRAPH =AREA OF TRIANGLE
= (1/2)bh
= (1/2)ta
=(1/2)×11×10
=(11×10)/2
=110/2
V=55 m/s
here change in velocity will be equal to maximum velocity because ,the final velocity is zero.
THE MAXIMUM VELOCITY IS 55 m/s
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