The coordinate of an object is given as a function of time by x = 7t - 3t², where x is in meters and t is in seconds.Its velocity at t = 3s is: A)-6 m/s B)-11 m/s C)-21 m/s D)9 m/s E)18 m/s

Question

Quizplus · Accepted Answer

To find the velocity of the object, we need to take the derivative of its position function with respect to time:

dx/dt = 7 - 3cos(t^2)

We can then evaluate this expression at t = 3s to find the velocity at that time:

dx/dt = 7 - 3cos(9)

dx/dt ≈ -11 m/s

Therefore, the answer is B.

The Coordinate of an Object Is Given as a Function