Question

Position of particle moving along x-axis is given
as x = 2 + 5t + 7t^2? then calculate :
(1) Velocity of particle
(2) Initial velocity
(3) Velocity at t = 2 sec
(4) Acceleration of particle
​

Answer 1

(1)v=0+5+14t = 5+14t(By differentiation)

(2) for initial velocity some conditions must be given {eg : body is starting from origin,etc}

(3) v at 2s =5+14 x 2=33m/s

(4)a=0+14=14m/s^-2. ( by differentiation)

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