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andreev551 [17]
3 years ago
10

The position of an object at time t is given by s(t) = 7 - 14t. Find the instantaneous velocity at t = 7 by finding the derivati

ve.
Mathematics
2 answers:
valkas [14]3 years ago
6 0

Answer:

The velocity of the object is 14m/s in opposite direction for any value of t.

Step-by-step explanation:

The position of an object at time t is given by

s(t)=7-14t

Differentiate with respect to t.

s'(t)=0-14(1)

s'(t)=-14

We know that the change in displacement with respect to time is known as velocity.

v(t)=-14

Therefore the velocity of the object is 14m/s in opposite direction for any value of t.

katrin2010 [14]3 years ago
4 0
Given the position function
s(t) = 7 - 14t

The instantaneous velocity is the derivative the the position function:
s'(t) = v = - 14

The velocity in an instant in time is 14 m/s in the opposite direction.
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