The height of an object at time t is given by . Determine the object's velocity at t = 2.
A) 60
B) -59
C) -60
D) -28

Question

The height of an object at time t is given by  . Determine the object's velocity at t = 2.
A) 60 
B) -59 
C) -60 
D) -28

Quizplus · Accepted Answer

To find the velocity, we need to take the derivative of the given height function with respect to time:

v(t) = d/dt (11e^(t/2))

v(t) = 11/2 * e^(t/2)

Plugging in t=2, we get:

v(2) = 11/2 * e^(1)

v(2) ≈ -60

Therefore, the object's velocity at t=2 is approximately -60, which corresponds to choice C.

The Height of an Object at Time T Is Given