Question

the position of a particle moving along a stright line is given by x=4t-3t^2m find accelaration of the particle at t=2 seconds​

Answer 1

Given :-

The position of a particle moving along a straight line = x = 4t - 3t².

Time in which we are required to find the acceleration = 2 s

In this question we are required to double different the given value of x w.r.t to dt.

What is requirment of double differentiation?

We usually do double differentiation in this term to find acceleration. In a single differentiation we will find Velocity and again if we differentiate velocity w.r.t dt then we will get acceleration of the particle.

v = dx/dt

v = d(4t-3t²)/dt

v = 4-6t m/s ( dx/dt = nxⁿ-¹)

Again,

a = dv/dt

a = d(4-6t)/dt

a = -6 ms-² Answer.........