Question

13. A stone is launched upward from a cliff 192 ft above the ground at a speed of 64 ft/s. Its height above the ground t seconds after the launch is given by h-1612 +64t+192 for 0s1s6. when does the stone reach its maximum height? c) 4.5s d) 192s a) 1s b) 2s 14. You travel the 348 miles from Miami to Jacksonville, without stopping, in 6 hours. According to the Mean Value Theorem, at some point during the trip your instantaneous speed had to be which of the following values? c) 78 mph a) 58 mph b) 68 mph d) Cannot be determined 15. Simplify 'pdt Assume that the derivative is continuous on the interval of integration. a)3 b) 10 c) f(5)-f(2) d) f(3)

show work 10,11,12

cancell question

Answer 1

(13) h(t)-16r +64t+192 Differentiate h(t) with respect dh =-32t + 64 dt d h -32 dh 0-32f+64 0 -2 dt d h -32< 0 dr At t 2 So h(t) is maxmum when t 2 s Hence, the correct option is (b)