Question

. In two dimensional motion, the position vector

of a moving particle changes as :

x(t) = 10 + 5t + 7t2

and y(t) = 12 – 4t + 3t2

Where, x and y are in metre and t is in second.

Calculate :

(i) Distance from origin at the initial state.

(ii) Distance from origin 5 seconds latter.

(iii) Velocity and acceleration after 10 seconds.​

Answer 1

Explanation:

two dimensional motion, the position vector

of a moving particle changes as :

x(t) = 10 + 5t + 7t2

and y(t) = 12 – 4t + 3t2

Where, x and y are in metre and t is in second.

Calculate :

(i) Distance from origin at the initial state.

(ii) Distance from origin 5 seconds latter.

(iii) Velocity and acceleration after 10 seconds