A soccer ball is kicked with the initial speed of 10.6 . After 0.770 it is at its highest point. What was its initial direction of motion?

Guest Feb 15, 2012

#1**0 **

wurf.png

y(t) = v0*t*sin(beta)-(g/2)*t^2

ys = ((v0)^2*sin(beta)^2)/(2*g)

[input]solve( ((10.6)^2*sin(beta)^2)/(2*9.81) = 10.6*0.770*sin(beta)-(9.81/2)*0.770^2, beta)[/input]

{beta=0.793147643704485, beta=0.793284492082275}

but this in RAD.

[input]0.793 / (pi/180)[/input]

**= 45.43° ?**

y(t) = v0*t*sin(beta)-(g/2)*t^2

ys = ((v0)^2*sin(beta)^2)/(2*g)

[input]solve( ((10.6)^2*sin(beta)^2)/(2*9.81) = 10.6*0.770*sin(beta)-(9.81/2)*0.770^2, beta)[/input]

{beta=0.793147643704485, beta=0.793284492082275}

but this in RAD.

[input]0.793 / (pi/180)[/input]

admin
Feb 15, 2012