Question

A particle moves along a straight line if velocity of particle is given by Y is equal to 2 T^2where it is time then acceleration vs time graph will be​

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11th

Physics

Motion in a Straight Line

Distance and Displacement

A particle moves in a strai...

PHYSICS

A particle moves in a straight line with a velocity v

t

=∣t−4∣ m/s where t is time in seconds. The distance covered by the particle in 8s is

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ANSWER

V=∣t−4∣

V=t−4 for t>4

V=−(t−4) for t<4

For t∈[0,4]

v=−t+4

a=−1m/s

2

Since acceleration is uniform at t=0,v=4m/s

x=

2

1

×1×16

x=8m

For t>0, v=t−4

Acceleration =1m/s

s=

2

1

×4×4=8m

Total distance =16m