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A particle travels as a function of time according to the formulas = 60 + 14t + 0.07t3where s is in meters and t is in seconds. Find the acceleration of the particle when t = 3.

Question

A particle travels as a function of time according to the formula

s = 60 + 14t + 0.07t3

where s is in meters and t is in seconds. Find the acceleration of the particle when 

t = 3.

 

check_circleAnswer
Step 1

To find the acceleration by calculating the second derivative at the given instant.

Step 2

The velocity and acceleration are obtained as the first and the second derivatives of the function s=s(t) 

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Step 3

acceleration at the given instant is calculated , by substituting the...

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Tagged in

Math

Calculus

Derivative

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