Question

A particle moves a distance 'x' in time t according to the equation x = (t + 5)-¹. Find the instantaneous acceleration​

Answer 1

Step-by-step explanation:

distance x=(t+5)−1x=(t+5)−1

velocity v=dxdtv=dxdt=−(t+5)−2=−(t+5)−2

acceleration a=dvdta=dvdt=2(t+5)−3=2(t+5)−3

Therefore v3/2=−(t+5)−3v3/2=−(t+5)−3

Therefore a=−2v3/2a=−2v3/2

aαv3/2aαv3/2

Hence a is the correct answer.