  Suppose a soccer player boots the ball from a distance 27.5 m into the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the intitial direction to be 40° above the horizontal.

Question

Suppose a soccer player boots the ball from a distance 27.5 m into the goal.

Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the intitial direction to be 40° above the horizontal.

Step 1

Here the figure shows a ball projected from the origin with initial velocity u at an angle θ with the horizontalHere the figure shows a ball projected from the origin with initial velocity u at an angle θ with the horizontal

Step 2

Which has horizontal and vertical components as ux and uy as shown in the diagram help_outlineImage Transcriptioncloseu,= ucos0,a = 0 Fucos(40) = usin 0 ,a, -g u, u, usin(40) fullscreen
Step 3

Given,

x=27.5m,

y=2.4m

also, g=9.8m/s2

By using the concept of constant accelerated mot...

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Kinematics 