Question

Asked Oct 2, 2019

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F(t)=m(t)a(t)

At time t=6 seconds, the mass of an object is 36 grams and changing at a rate of −3(g/s). At this same time, the acceleration is 15(m/s^2) and changing at a rate of −8(m/s^3)

By the product rule, the force on the object is changing at the rate of...?

Step 1

The force on an object is the product of the mass m and the acceleration. In this problem, we assume both mass and acceleration are depended on time t.

Step 2

To determine the rate of change, we differentiate the force with respect to time (t).

Step 3

Substitute the val...

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