Question

10. A particle moves a distance x in time t according
to equation x = (t+ 5)1 The acceleration of particle is proportional to​

Answer 1

Answer:

αv~3/2

Explanation:

Distance travelled = x (Given)

Time taken = t (Given)

Equation = x = (t+ 5)1 (Given)

Therefore,

distance x = (t+5)−1

velocity v = dx/dt = −(t+5)−2

acceleration a = dv/dt = 2(t+5)−3

Therefore v~3/2 = −(t+5)−3

Therefore a = −2v~3/2

= a αv~3/2

Thus, the acceleration of particle is proportional to​ αv~3/2