Suppose an object moves along an axis, with acceleration (in m/sz) given by the function: a(t) = Simon/E) Determine the change in velocity of the object over the time interval t E [1,4]. Make sure to form a clear concluding statement about the motion of the object, which includes the appropriate units. Suppose gas flows in and out of a chamber. At any given time t, the volume V of gas in the chamber changes at a rate given by: (W _ = t alt cos(e ) Where V is measured in gallons and t is measured in minutes. 0 Estimate the value of f0\" cos(et) dt using Simpson's Method with n = 6. Make sure your calculator is set to Radians. 0 Explain what the value of the value of f0\" cos(et) dt represents, in relation to the gas in the chamber. Make sure to include the appropriate units of measurement in your conclusion