Question

. A particle moves in a straight line in such a way that s = 2t feet when t is in seconds. Is it acceleration zero, or has it constant or variable acceleration? Find V when s = 0

Answer 1

It has given that, A particle moves in a straight line in such a way that s = 2t where t is in seconds.

We have to check that acceleration is zero , constant or variable also find the velocity at s = 0

Solution : here s = 2t

differentiating s with respect to time,

ds/dt = 2

i.e., velocity of particle remains constant and equals to 2 m/s

so velocity of particle, v = 2 m/s when s = 0

Now again differentiating with respect to time,

d²s/dt² = dv/dt = a = 0

[ We know rate of change of velocity is known as acceleration so, dv/dt = a ]

Therefore acceleration of particle equals to zero.