An object moves along the x-axis according to the equation x = 3t ^ 3 - 2t ^ 2 + t along the x-axis.

An object moves along the x-axis according to the equation x = 3t ^ 3 - 2t ^ 2 + t along the x-axis. Find the instantaneous velocity at t = 2 s.
A) 29 B) 18 C) 48 D) 43

Expert Solution

The instantaneous velocity is given as , v= dx/dt

v= d(3t^3- 2t^2+t)/dt

v= 9t^2- 4t +1

Now at t=2 sec, put t= 2 in the above equation

V= 9*4- 4*2+1= 36-8+1= 29 m/s

So option 1st is the right choice.

genius_generous answered 2 years ago

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