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April 16, 2014

April 16, 2014

Posted by **Rachel** on Monday, January 28, 2013 at 9:35pm.

(a) Give formulas for the acceleration, velocity, and height of the tomato at time t.

(b) How high does the tomato go, and when does it reach its highest point?

(c) How long is it in the air?

- calculus 2 -
**Reiny**, Monday, January 28, 2013 at 9:49pmmy equation would be

h = -4.9t^2 + 40t + 23

v = - 9.8t + 40

a = -9.8

b) max h, when v = 0

-9.8t+40=0

t = 40/9 seconds

h= -4.9(40/9)^2 + 40(40/9) + 23 = 103.99 m

c) let's find when it hits the ground, that is, when h = 0

-4.9t^2 + 40t + 23 = 0

4.9t^2 - 40t - 23 = 0

t = (40 ± √2050.8)/9.8

= 8.7 or some negative, which would be silly

It is in the air for appr 8.7 seconds

BTW, that is some feat to throw a tomato about 80 m up into the air !

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