Question:
The acceleration a of moving body from rest is 2 (t - 1). Then, the velocity at 5 s will be
The acceleration a of moving body from rest is 2 (t - 1). Then, the velocity at 5 s will be
Updated On: Jun 21, 2022
- 15 m/s
- 25 m/s
- 35 m/s
- 45 m/s
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The Correct Option is A
Solution and Explanation
Acceleration $ a=\frac{dv}{dt}=2(t-1) $ Integrating, $ v={{t}^{2}}-2t+c $ Velocity $ v=0 $ at $ t=0 $ $ \therefore $ $ c=0 $ $ v={{t}^{2}}-2t $ $ \therefore $ Velocity at 5 s $ v={{(5)}^{2}}-2\times 5 $ $ =15m/s $
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration