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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.

check_circleAnswer
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

u sine
2.4m
6=40
u cose
X
bd
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u sine 2.4m 6=40 u cose X bd

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Step 2

Which has horizontal and vertical components as ux and uy as shown in the diagram

u,= ucos0,a = 0
Fucos(40)
= usin 0
,a, -g
u,
u, usin(40)
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u,= ucos0,a = 0 Fucos(40) = usin 0 ,a, -g u, u, usin(40)

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Step 3

Given,

x=27.5m,

y=2.4m

also, g=9.8m/s2

By using the concept of constant accelerated mot...

1
S ut at
2
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1 S ut at 2

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Tagged in

Science

Physics

Kinematics

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