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Luda [366]
3 years ago
5

The position of an object at time t is given by s(t) = 3 - 4t. Find the instantaneous velocity at t = 8 by finding the derivativ

e.
Mathematics
2 answers:
ioda3 years ago
8 0
Answer: - 4


Explanation: 

As the question tells, the instantaneous velocity is the first derivative of the position.


1) position equation given: s(t) = 3 - 4t

2) derivative, v(t) = s'(t)

s'(t) = [ 3 - 4t]' = (3)' - (4t)' = 0 - 4(t') = - 4

3) Then, the velocity is constant (does not depends on t), and its value is - 4.

zysi [14]3 years ago
7 0
For this case, we have that the equation of the position is given by:
 s (t) = 3 - 4t

 To find the velocity, we must derive the equation from the position.
 We have then:
 s' (t) = - 4

 Then, we evaluate the derivative for time t = 8.
 We have then:
 s' (8) = - 4
 Answer:
 
the instantaneous velocity at t = 8 is:
 
s' (8) = - 4
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