Question

The displacement x of a particle at time t along a straight line is given by

x = 2 - 3t + 4t². Find the instantaneous velocity, instantaneous

acceleration of the particle. At t=4sec.​

Answer 1

Explanation:

x=2-3t+4t^2

TO FIND VELOCITY DIFFERENTIATE THE EQUATION WITH REPECT TO TIME

dx/dt = -3+8t

velocity=8t-3

SO AT TIME T=4 sec

v=8×4-3

v=32-3

v=29m/s.