2. a truck speeds up from a velocity of 6 m/s to 14 m/s in 4 seconds. what is the trucks acceleration? show your work 3. a car starts from rest and reaches 15 m/s in 2.5 seconds. what is the acceleration of he car? show your work 4. a resident throws a bag of full trash over the balcony of their third floor apartment. what happened to the distance between the jumper and the bridge in each picture taken? show your work

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit