Question

A particle moves along the positive x-axis in such a way that it’s co-ordinates varies in time. According to
the expression x  4  2t  3t 2 where x is in metre and ‘t’ in seconds.
(i) Find it’s initial position and initial velocity of particle.
(ii) Determine at what time the particle reaches a maximum co-ordinates.
(iii) Calculate the position, velocity and acceleration at t = 2 sec

Answer 1

Answer:

A particle moves along the positive x-axis in such a way that it’s co-ordinates varies in time. According to

the expression x  4  2t  3t 2 where x is in metre and ‘t’ in seconds.

(i) Find it’s initial position and initial velocity of particle.

(ii) Determine at what time the particle reaches a maximum co-ordinates.

(iii) Calculate the position, velocity and acceleration at t = 2 sec