Question

The coordinates of a moving article at any time ‘t’ are given The coordinates of a moving article at any time ‘t’ are given byand . The speed of the particle at time ‘t’ is given by . The speed of the particle at time ‘t’ is given by

Answer 1

Hence the magnitude of the speed of the particle is v = 2 t √ ( a^2 + b^2)

Explanation:

The coordinates of a moving article at any time ‘t’ are given. The speed of the particle is:

r = i a t^2 + j b t^2

V = dr / dt  = i 2 at + j 2 b t

Now the magnitude of v is

Magnitude of v =  √ 4a^2 t^2 + 4 b^2 t^2

Magnitude of v = 2 t √ ( a^2 + b^2)

Hence the magnitude of the speed of the particle is v = 2 t √ ( a^2 + b^2)

Hence the magnotu