The position of a body moving on a coordinate line is given by s = t2 4t 3 for 0 g t S 4, with s in meters and t in seconds. (a) Find the body's displacement and average velocity for the given time interval. Displacement = y; 111 Average velocity = y; m/s (b) Find the body's velocity at the endpoints of the interval. Velocity at t = 0 is 9; m/s Velocity at t = 4 is 9" m/s (c) Find the body's acceleration at the endpoints of the interval. Acceleration at t = 0 is 9; m/s2 Acceleration at t = 4 is 9; m/s2 (d) When, if ever, during the interval does the body change direction? If there is more than one answer, enter a comma separated list. If the body never changes direction during the interval, enter NONE. t: i, s If an arrow is shot straight upward on the moon with a velocity of 53 m/s, its height (in meters) after t seconds is given by s(t) = 532: 0.83t2. What is the velocity of the arrow (in m/s) after 10 seconds? After how many seconds will the arrow hit the moon? With what velocity (in m/s) will the arrow hit the moon? f. The total cost (in dollars) of producing a: golf clubs per day is given by the formula C(x) : 450 + 10033 0.8232. (A) Find the marginal cost at a production level of a: golf clubs. CW?) = f. (B) Find the marginal cost of producing 15 golf clubs. Marginal cost for 15 clubs = f, The displacement (in meters) of a particle moving in a straight line is given by s = 3253 Where t is measured in seconds. Find the average velocity of the particle over the time interval [10, 13]. f. Find the (instantaneous) velocity of the particle when t = 10. y