Question

A body moving along a straight line has its displacement in metres given by s =3+2t+4t2 ,find it's velocity after 2s and the acceleration

Answer 1

Answer:

Velocity at t = 2 sec  is 18 m/s

acceleration = 8 m/s²

Explanation:

A body moving along a straight line has its displacement in metres given by s =3+2t+4t2

x = 3 + 2t + 4t²

Velocity = v = dx/dt

v = 2 + 8t

Velocity at t = 2 sec

v = 2 + 8*2  = 18 m/s

Velocity at t = 2 sec  is 18 m/s

acceleration = a = dv/dt = d²x/dt²

a = 8

acceleration is independent of time and constant  at 8 m/s²

acceleration = 8 m/s²

Answer 2

Answer:

it's velocity will be 17 s

Explanation:

Because time is related to speed

Or else time is constant to speed