The position of an object as a function of time is given by x = bt 2 - ct, where b = 2.0 m/s2 and c = 6.7 m/s, and x and t are in si units. what is the instantaneous velocity of the object when t = 4.1

The instantaneous velocity of the object when t = 4.1 is 9.7 .

Explanation:

Instantaneous velocity, v =

x =

v = = 2bt - c

At t = 4.1 s

v = 2 × b × 4.1 - c

b = 2.0

c = 6.7 ...(Given)

v = 2 × 2 × 4.1 - 6.7

v = 9.7

The instantaneous velocity of the object when t = 4.1 is 9.7 .