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aaron kicked a soccer ball with an initial velocity of 39 feet per second at an angle of 44 degrees with the horizontal after 0.9 second, how far has the ball traveled horozontally?
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26. 25.245?
27. 6.081
|dw:1425359811889:dw|
you can make parametric equations for the flight $$x(t) = 39 \cos(44 \deg ) t\\ y(t) = 39 \sin(44 \deg) t - \frac{1}{2} g~t^2$$
$$ \Large x(t) = 39 \cos(44 ^\circ ) t\\ \Large y(t) = 39 \sin(44^\circ ) t - \frac{1}{2} g~t^2 $$
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so you can answer the first question, find x (0.9)
25.25?
After 0.9 second, how far has the ball traveled horizontally? $$ \Large x(t) = 39 \cos(44 ^\circ ) t\\ \Large x(0.9) = 39 \cos(44 ^\circ )~\cdot (0.9)\\ $$
yes thats correct
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