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ella [17]
3 years ago
10

The position of an object at time t is given by s(t) = 6 - 14t. Find the instantaneous velocity at t = 6 by finding the derivati

ve.
Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0
The inst. vel. is ds/dt = -14, which is independent of time t.  Thus, 
the inst. vel. at time t=6 is -14 units/sec.
LUCKY_DIMON [66]3 years ago
3 0

Answer: -14 m/s

Step-by-step explanation:

Given: The position of an object at time t is given by

s(t) = 6 - 14t

To find the instantaneous velocity, we need to find the derivative of the given function of position with respect to time t, we get

\dfrac{ds}{dt}=\dfrac{d}{dt}(6-14)=-14

Hence, the instantaneous velocity at t = 6 = \dfrac{ds}{dt}=-14 m/s

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