Velocity as a function of position for a particle is given as v = √x (ii) Find acceleration as function of time.​

Asked by harshbpathak2510 | 4th Jul, 2021, 03:46: PM

Expert Answer:

Velocity as function of position x is given as , V(x) = begin mathsize 14px style square root of x end style
Acceleration a as a funtion of time  is given as,
 
a = begin mathsize 14px style fraction numerator d v over denominator d t space end fraction space equals space fraction numerator d v over denominator d x end fraction cross times fraction numerator d x over denominator d t end fraction space equals space v space fraction numerator d v over denominator d x end fraction space equals space square root of x space cross times space fraction numerator 1 over denominator 2 space square root of x end fraction space equals space 1 half end style
 
Acceleration a as a funtion of time  is constant  (1/2)

Answered by Thiyagarajan K | 4th Jul, 2021, 04:10: PM