Question

This question is from motion in a straight line please answer it

Answer 1

Answer:

(2) 56 m

Explanation :

Find the derivative of the equation.

You will get your "t" value then put the "t" value in the equation.

You will get the displacement of the particle before coming to rest.

Answer 2

x= 40 +12+t ------- (1)

differentiating both the sides

dx/dt = d (40+12+ t ^3)

________________

dt

Now, we know that dx/dt=v

= dx/dt =v

So,

= v= o+12- 3t^2

= o= 12- 3t^2

= 3t^2= 12

= t^2 = 12/3 = 4

= t= √4 =2

putting the value of t in eq ------ 1

x= 40+2(2) - 2^3

x=40+24- 8

x=64- 8

x= 56 m.