Question

22) Position -Time relation of a body is given as x(1)-21²-51-6 Find a velocity of the body at 2 second b)Displacement of the body in 5 second c)Acceleration of the body.​

Answer 1

Answer:

Velo = 3 m/s,    displacement =25m  accln = 4 m/s²

Explanation:

x(t) = 2t² - 5t -6

v = dx/dt = 4t -5

a = dx²/dt² = 4

a) velocity at 2 sec = [dx/dt] at t =2

                               = 4x2 - 5

                               = 3 m/s

b) Position when t = 0 is

   x₀ = -6 m

  Position when t= 5 s

   x₅ = 2x 25 - 5x5 -6

        = 50-25-6

        = 19 m

∴ Displacement in 5 sec = x₅-x₀

                                         = 19-(-6)

                                          = 25 m

c) accln of body is constant, a = 4 m/s²