Mark the correct alternative in the following: The distance moved by the particle in time is given by x = t 3 – 12t 2 + 6t + 8. At the instant when its acceleration is zero, the velocity is

Question

Philoid · Accepted Answer

If we are given the distance travelled(x) as a function of time, we can calculate velocity(v) and acceleration(a) by

and a

x(t)= t³ – 12t² + 6t + 8

differentiating w.r.t. time, we get

Differentiating again w.r.t. time, we get

a

Given that a=0 ⇒ 6t-24=0 or t=4 units

v(4)=3×4² -24×4+6 =-42

Mark the correct alternative in the following:The distance moved by the particle in time is given by x = t3 – 12t2 + 6t + 8. At the instant when its acceleration is zero, the velocity is

Mark the correct alternative in the following:
The distance moved by the particle in time is given by x = t³ – 12t² + 6t + 8. At the instant when its acceleration is zero, the velocity is