I can not figure out what I\'m doing wrong here...PLEASE HELP! 1.)Fleas can jump

Question

I can not figure out what I'm doing wrong here...PLEASE HELP!
1.)Fleas can jump quite high; experiments show that they reach an altitude of 130 times their own height when they jump vertically! Suppose instead that a flea can jump so that it lands a maximum distance of 21.60 cm away. What is the take-off speed for this flea and how tall is the flea?

2.)Having captured a mouse, an owl is flying towards the barn where it lives to enjoy dinner. While approaching the barn at a speed of 8.5 m/s at an upwards angle of 14o above the horizontal, the struggling mouse escapes from the talons of the owl while at an altitude of 6.4 m. How much times passes before the mouse hits the ground?

Explanation / Answer

One problem at a time please! R = v^2 sin (2 theta) / g range formula R = v^2 / g = .216 theta = 45 for maximum range Solve for v vx = v cos 45 and vy = v sin 45 h = vy t - 1/2 g t^2 t = R / vx Substitute for t and solve for h (remember the time to reach max height is R / (2 * vx) ) Flea height = h / 130 Apply similar reasoning for the owl mouse problem Use h = -6.4 = vy t - 1/2 g t^2 Solve the quadratic for t using vy = v sin 14

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