If you can help will this whole page, that would be great! thank you! 2.) The he

Question

If you can help will this whole page, that would be great! thank you!

2.) The height of a baseball thrown 40 feet per second straight up in the air by a person 6 feet tall is given by s(t) 16t2 40t 6 where t is in seconds and s(t) is in feet. a. How high is the baseball after 2 seconds? b. How fast is the baseball moving after 2 seconds? c. How fast is the baseball accelerating after 2 seconds? 3.) The following graph describes a bicycle racer's distance from a roadside television camera. s(t) 1000 100, 1000) 200 (10. 280) 0 10 20 30 4006 70 80 90 100 10 120 Time (in seconds) a. When is the bicyclist's velocity the greatest? How can you tell? b. Is the bicyclist's acceleration positive or negative? How can you tell?

Explanation / Answer

2. s(t) = -16t2+40t+6

a. s(2) = -16(4) +40(2)+6 = 22 feet

b. s'(t) =-32t +40

s'(2) =-32(2)+40 = -24ft/sec

c. s "(t) =-32

s "(2)=-32 ft/sec2

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