You drive a car 620 m to the east, then 300 m to the north. What is the magnitude of your displacement including units, and estimate the direction of your displacement. [?° north of east]

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

Derive the formula 2as=v² -u² where the formula have have usual meanings

Calculate the linear momentum of a pickup truck that has a mass of 1000kg, and is traveling eastward at 20 m/s