Question

A particle moves along the x-axis according to the following equation

x=pt(1−qt) where p and q are constants and p > 0, q>0.

Let take i as the unit vector across x-axis

a. Find out the velocity and acceleration vector for the particle

b. What time it will reach its initial point and what will be the total distance

traversed​

Answer 1

see the attachment for the answer

distance travelled is = 2 x p(1/2q)(1 - q(1/2q) )

displacement in t/2 second is = half of distance travelled.

Acceleration is constant for the entire time of travel.