You're 6.0 m from one wall of a house. You want to toss a ball to your friend who is 6.0 m from the opposite wall. The throw and catch each occur .0 m above the ground. Assume the overhang of the roof is negligible, so that you may assume the edge of the roof is 6.0 m from you and 6.0 m from your friend. What minimum speed will allow the ball to clear the roof?

Respuesta :

We have that minimum speed will allow the ball to clear the roof

V=13m/s

From the question we are told that

ou're 6.0 m from one wall of a house

friend who is 6.0 m from the opposite wall.

The throw and catch each occur 1.0 m m above the ground

assume the edge of the roof is 6.0 m from you and 6.0 m from your friend.

Generally the Newtons equation for the  distance is mathematically given as

[tex]s = v*t + a/2 * t^2\\\\5 = 0*t + 4.9 * t^2 \\\\ t=1.04[/tex]

Therefore

2*t = 2.0s

Where

[tex]18 = V_x*2.0\\\\V_x=8.9[/tex]

And

[tex]5 = Vy*1.04 - 4.9*1.04^2 \\\\V_y=9.8[/tex]

Therefore

[tex]V=\sqrt{Vy^2+Vx^2}\\\\V=\sqrt{(9.8)^2+(8.9)^2}[/tex]

V=13m/s

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