Aparticle is moving along a straight line and the acceleration is given by a(t)=3t+5, (units m/s2). a)find v(t) , the velocity at time t if the initial velocity is v(0) = -4 ft/s? b)find the total distance traveled during the time interval [0, 2]?

Velocity will be  

Distance traveled = 6 feet

Explanation:

We have given acceleration

We know that

So

We have given

So

c = -4 ft/sec

So

Now we have to find distance traveled in interval [0,2]

So distance

that tool is called an altimeter which measures your altitude which can be used to tell which atmosphere you are currently in, including the stratosphere.

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