A particle moves on x-axis with a velocity which depends on time as per equation `v=t^(2)-8t+15(m//s)` where time t is in seconds. Match the columns.

A particle moving in a straight line has its velocit varying with time according to relation v = t^(2) - 6t +8 (m//s) where t is in seconds. The CORRECT statement(s) about motion of this particle is/are:-

A particle of mass 1 kg moves in a circular path of radius 1 m such that its speed varies with time as per equation v=3t^(2)m//s where time t is in seconds. The power delivered by the force acting on the paritcle at t=1s , is :-

If v=(t^(2)-4t+10^(5)) m/s where t is in second. Find acceleration at t=1 sec.

The velocity of a particle is given by v=(4t^(2)-4t+5)m//s where t is time in seconds. Find its acceleration at t=4 second.

The velocity of a particle is given by v=(5t^(2)-6t+5)m//s where t is time in seconds. Find its acceleration at t=4 second.

The velocity of a particle is given by v=(2t^(2)-4t+3)m//s where t is time in seconds. Find its acceleration at t=2 second.

The velocity of a particle is given by v=(5t^(2)-2t+9)m//s where t is time in seconds. Find its acceleration at t=4 second.

At time t=0 s a car passes a point with velocity of 16 m//s and thereafter slows down with acceleration a=-0.5t m//s^(2) ,where t is in seconds. It stops at the instant t=

(a) The position of a particle moving along the x-axis depends on the time according to equation. x=(3t^(2)-t^(3)) m. At what time does the particle reaches its maximum x-position? (b) What is the displacement during the first 4s.

Position vector of a particle is expressed as function of time by equation vec(r)=2t^(2)+(3t-1) hat(j) +5hat(k) . Where r is in meters and t is in seconds. Find the velocity vector