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Margaret [11]
2 years ago
13

(ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the

derivative.
Mathematics
1 answer:
prohojiy [21]2 years ago
7 0

Answer:

The instantaneous velocity at t = 2 is -6.

Step-by-step explanation:

We have the position as the function

s(t) = -2 - 6t

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.

so finding the derivate of  s(t) = -2 - 6t

∴ s'(t)=-6

The instantaneous velocity at t = 2

s'(2)=-6

Therefore, the instantaneous velocity at t = 2 is -6.

Please note that the negative value indicates the direction of movement, in this case, it would be backward.

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IrinaVladis [17]
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When multiplying several factors together, an even number of negative signs will result in a positive answer.

↠ Because when you multiply two negative signs together, the negative signs turn into a positive sign, giving you a positive answer.

↠ If you have an even number of negative signs to multiply, then all your negative signs will be turned into positive signs, giving you a positive answer!

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When multiplying several factors together, an odd number of negative signs will result in a negative answer.

↠ Because when you multiply a negative sign by a positive sign, the negative sign always wins, giving you a negative answer.

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I hope this helps! If you need a visual example, just tell me, it will be my pleasure! ☻
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