Question

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Answer 1

Answer:

what's the question.........

Answer 2

Given:

x=8+12t-t

Solution:

On differentiating, displacement, we get velocity.

= Velocity (v)= dx/dt = 12- 3t²

Again on differentiating, velocity, we get acceleration.

Acceleration(a) = dv/dt= -6t

When velocity becomes zero,

12- 3t²= 0 ⇒ 12= 3t² ⇒ 4= t² ⇒ t=2s

Therefore,

= -6t = -6 × 2= -12 m/s²

• In the above solution, the answer we got is negative, that’s because it is negative acceleration, also known as retardation.

• To calculate the retardation, we took the approach of calculus and we used the concept that the acceleration is the differentiation of velocity which in turn is derived by differentiating the distance. By definition, acceleration is rate of change of velocity.