The position of a particle moving along a line (measured in meters) is s(t) where t...

The position of a particle moving along a line (measured in meters) is s(t) where t is measured in seconds. Answer all parts, include units in your answers.

s(t)=2t^3 +6t^2 −48t+7 −10<t<10

(a) Find the velocity function.

(b) Find all times at which the particle is at rest.

(c) On what interval is the particle moving to the right?

(d) Is the particle slowing down or speeding up at t = −1 seconds?

Expert Solution

milcah answered 2 years ago

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