The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is given in seconds and d is measured in meters. Find an expression for the instantaneous velocity v(t) of the particle at any given point in time. Question 1 options: 6t3 – 5 5t3 + 6 6t2 + 5 5t2 – 6

(C)

Step-by-step explanation:

Given the distance, d(t) of a particle moving in a straight line at any time t is:

To find an expression for the instantaneous velocity v(t) of the particle at any given point in time, we take the derivative of d(t).

The correct option is C.

addition

step-by-step explanation: