Question

8.) The displacement of a particle is
dependent on time be according to the
relation x =3-5t+2tsquare. If he is measured
in seconds and x in metres.find its (i)
velocity at t=2s (ii) acceleration at t=4s.​

Answer 1

Answer:

(i)v=3m/s

(ii)a=4m/ssquare

Step-by-step explanation:

It was given that x=3-5t+2tsquare

Differentiating x gives velocity v

After differentiating ,

v=4t-5

Answer 2

ANSWERS:

(i) 3m/s

(ii) 4m/$s^{2}$

EXPLANATION:

x=3-5t+2$t^{2}$

(i)Velocity = dx/dt

                = 4t-5

At time = 3s,

  Velocity = 4(2)-5

                 =8-5

                 =3m/s

(ii)Acceleration = dv/dt (or) $d^{2} x/dt^{2}$

                         =4m/$s^{2}$

  At any time given, acceleration with be 4m/s because it doesn't depend upon time. So acceleration will be 4m/$s^{2}$.