The coordinate of an object is given as a function of time by θ = 7t - 3t², where θ is in radians and t is in seconds.Its angular velocity at t = 3 s is: A)−11 rad/s B)−3.7 rad/s C)1.0 rad/s D)3.7 rad/s E)11 rad/s

Question

Quizplus · Accepted Answer

To find the angular velocity, we differentiate the given function θ(t) = 7t - 3t^2 with respect to time t. The derivative, dθ/dt = 7 - 6t, gives the angular velocity. Substituting t = 3 s into this expression gives dθ/dt = 7 - 6(3) = 7 - 18 = -11 rad/s.

The Coordinate of an Object Is Given as a Function