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A ball is dropped from a height of 53 feet. Its height above ground (in feet) t seconds later is given by s(t) = 16t² + 53. S 50 40 30 20 10 1 2tQ a. At what time does the ball hit the ground? b. What is the instantaneous velocity of the ball when it hits the ground? c. What is the average velocity during its fall?
= A particle moves along a straight line and its position at time t is given by s(t) = s is measured in feet and t in seconds. Find the velocity (in ft/sec) of the particle at time t = 0: The particle stops moving (i.e. is in a rest) twice, first when t = and again when t = What is the position of the particle at time 16? 2t³ 24t² + 90t where Finally, what is the TOTAL distance the particle travels between time 0 and time 16?
Suppose the total cost of producing q units of some commodity is given by the cost function C(q) = 0.001q² +5q + 130, where q is the number of units produced, and C(q) is the total cost, in dollars, to produce q units. A) Find a simplified expression for the rate of change cost function (call it C') with respect to q C'(q) = Select an answer ✓ note:syntax error on preview generally means you used the wrong input symbol 1=true
The total cost of producing a widgets is C(q) = 9x + 100√x + 10000. Find the marginal cost at the production level of 10000 units. Select an answer