A child launches, by his foot, a ball with an initial velocity Vo under a shooting angle a = 60° with the horizontal plane. The ball flight and touches a wall located at 4m from the point of launching at a point A of coordinates A(4m ;1.2m) as shown in the figure below.

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Chapter1: Units, Trigonometry. And Vectors
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A child launches, by his foot, a ball with an initial velocity Vo under a shooting angle a = 60° with the
horizontal plane. The ball flight and touches a wall located at 4m from the point of launching at a point A of
coordinates A(4m ; 1.2m) as shown in the figure below.
Neglect the air resistance, and take g = 10 m/s?.
y(m)
wall
24
A
1.
|1,2 m
a=60°
0,5 1
1,5 2
2,5 3
3,5 4
4,5
x(m)
The ball is launched at the time to = 0 s from the origin of positions O.
1) Determine, in terms of V9, The parametric equations x (t) and y (t) of the motion of the ball.
2) Deduce, in terms of Vø, the equation of the trajectory of the ball.
3) Calculate the initial speed Vo.
4) Calculate the time needed by the ball to reach the point A.
5) Deduce the velocity V, at A and the angle that makes V, with the horizontal [Ox).
Transcribed Image Text:A child launches, by his foot, a ball with an initial velocity Vo under a shooting angle a = 60° with the horizontal plane. The ball flight and touches a wall located at 4m from the point of launching at a point A of coordinates A(4m ; 1.2m) as shown in the figure below. Neglect the air resistance, and take g = 10 m/s?. y(m) wall 24 A 1. |1,2 m a=60° 0,5 1 1,5 2 2,5 3 3,5 4 4,5 x(m) The ball is launched at the time to = 0 s from the origin of positions O. 1) Determine, in terms of V9, The parametric equations x (t) and y (t) of the motion of the ball. 2) Deduce, in terms of Vø, the equation of the trajectory of the ball. 3) Calculate the initial speed Vo. 4) Calculate the time needed by the ball to reach the point A. 5) Deduce the velocity V, at A and the angle that makes V, with the horizontal [Ox).
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