Question

The velocity of a particle moving along an axis is given by v(t)=2-t² for t>0, what is the average velocity of the particle from t=1 to t=3?





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Answer 1

Answer:

Correct option is

D

v(0)=0ms−1,v(3)=25.2ms−1 and v=14.6ms−1

Given,

x(t)=(4.2t2+2.6)m

Velocity, v(t)=dtdx(t)

v(t)=8.4t

At t=0sec, v(0)=0m/s

At t=3sec, v(3)=8.4×3=25.2m/s

The average velocity of the particle at t=0s and t=3s

vˉ=34.2×3×3+2.6=14.6m/s

The correct option is D.