Question

the position of particle x depends on time t according to the relation x =(3m/s)t-(1m/s^2)t^2 yhe speed of the particleat t=2 s is​

Answer 1

Answer:

According to the problem:

it i given that

x =(3m/s)t-(1m/s^2)t^2

x= 3t- 1t^2

dx/dt = V (speed)

therefore dx/dt = 3-2t

therefore at t=2

V = 3 - 2(2)

 = 3-4

 = -1 m/s

The negative sign indicates the motion is in opposite direction

Hence the speed of the particle at t=2 s is​ 1 m/s

Answer 2

Explanation:

here negative sign indicates motion in opposite direction due to which the answer will be -1 m/s