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If the kicker gives the ball the same initial speed and angle but the ball is ki

ID: 1395708 • Letter: I

Question

If the kicker gives the ball the same initial speed and angle but the ball is kicked from a point 22 m from the goalpost, what is the height of the ball above the crossbar as it crosses over the goalpost? Figure 1 Express your answer in meters to two significant figures. 20.0 m/s - 4.8 30.0 Submit My Answers Give Up The ball will have sufficie nt height to clear the goalpost at two different values of x. However, only the height at r = d describes the ball on its way back down. Incorrect Iry Again, 4 attempts remaining

Explanation / Answer

from equation:,   Sx = ux*t + ( 1/2) *ax*t2

                22 = u*cos30 * t + 0                               ( u= initial velocity = 20m/s)

t = 22 / 20*cos 30

t ( time) = 1.27 sec

Sy = uy*t + ( 1/2) * ay* t2

h = u*sin 30* t - ( 1/2) * 9.8 * ( 1.27)2                            ( a = -g)

h = 4.79 m

this is the vertical distance travelled by ball.

the height of ball above the cross bar can be calculated as:

= vertical distance of ball - height of crossbar

= 4.79 - height of crossbar

put the value of height of cross bar ( which is not given in the Q ) to get the result.

b) Vy ( final vertical velocity of ball) = ?

Vy = uy + ay t

     = u*sin30 - g*t

    = 20*sin30 - 9.8 * 1.27

   = - 2.446 m/s