The position of an object as a function of time is given by x = - ct,where b = 2.0 m/ and and x and t are in SI units.What is the instantaneous velocity of the object when
A)1.7 m/s
B)2.1 m/s
C)2.3 m/s
D)2.7 m/s

Question

The position of an object as a function of time is given by x =  - ct,where b = 2.0 m/  and  and x and t are in SI units.What is the instantaneous velocity of the object when 
A)1.7 m/s 
B)2.1 m/s 
C)2.3 m/s 
D)2.7 m/s

Quizplus · Accepted Answer

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

v = dx/dt = -c

Plugging in the given value of c, we get:

v = -11eab929_2a44_2d3a_99e6_0274b6038264_TB4470_11 m/s

Now, plugging in the given value of t, we get:

v = -11eab929_2a44_2d3a_99e6_0274b6038264_TB4470_11
v ≈ 2.1 m/s (to two decimal places)

Therefore, the answer is B) 2.1 m/s.

The Position of an Object as a Function of Time