Thread: Velocity formula from a position formula

The position of an object, measured in feet east of a particular point, at time t, given in seconds, is given by: p(t)=2sin(t)-3cos(t). Correct to the nearest hundredth, what is the object's velocity at time t=-pi/4 seconds?

In which direction is the object moving at time t=-pi/4 seconds? Assume that east is in the direction of the positive x-axis.

Originally Posted by Velvet Love

The position of an object, measured in feet east of a particular point, at time t, given in seconds, is given by: p(t)=2sin(t)-3cos(t). Correct to the nearest hundredth, what is the object's velocity at time t=-pi/4 seconds?

In which direction is the object moving at time t=-pi/4 seconds? Assume that east is in the direction of the positive x-axis.

Just take the derivative with respect to t and plug in the value of t you were given.