Exercise I A ball of mass m is launched with a velocity Vo making an angle a with the horizontal, from point O at the Vo ground level in a vertical plane (xoy) wall toward a wall at distance d from o. A represent the maximum height d reached by ball, where the ball at A is just above the wall. Given: g = 10 m/s?, Neglect air resistance. 1- Name the only force acting on the ball during its motion. 2- Write the expression of the velocity as function of V0, g, a and t. 3- By using Newton's second law, give the parametric equations of the motion as function of Vo, g, a and t.

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Chapter1: Units, Trigonometry. And Vectors
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Exercise I
A ball of mass m is launched with a
velocity V, making an angle a with
the horizontal, from point O at the
vo
ground level in a vertical plane (xoy)
wall
toward a wall at distance d from O.
A represent the maximum height
reached by ball, where the ball at A
is just above the wall.
Given: g = 10 m/s?. Neglect air resistance.
d
1- Name the only force acting on the ball during its motion.
2- Write the expression of the velocity as function of V0, g, a and t.
3- By using Newton's second law, give the parametric equations of the motion
as function of Vo, g, a and t.
4- Determine the equation of the trajectory and specify its shape.
For an angle of launching a = 30°and initial speed VO = 10 m/s
5- At what instant t1, the ball reaches the ground at B
6- Determine the distance between the launching point and the point B when the
ball reaches the ground (maximum range)
7- Determine the magnitude and the direction of the velocity at point
“B" when the ball touches the ground
8- Calculate the maximum height at the point A
9- If the height of the wall is 0.8 m, indicate if the ball will touch the
wall by passing above it or not
Transcribed Image Text:Exercise I A ball of mass m is launched with a velocity V, making an angle a with the horizontal, from point O at the vo ground level in a vertical plane (xoy) wall toward a wall at distance d from O. A represent the maximum height reached by ball, where the ball at A is just above the wall. Given: g = 10 m/s?. Neglect air resistance. d 1- Name the only force acting on the ball during its motion. 2- Write the expression of the velocity as function of V0, g, a and t. 3- By using Newton's second law, give the parametric equations of the motion as function of Vo, g, a and t. 4- Determine the equation of the trajectory and specify its shape. For an angle of launching a = 30°and initial speed VO = 10 m/s 5- At what instant t1, the ball reaches the ground at B 6- Determine the distance between the launching point and the point B when the ball reaches the ground (maximum range) 7- Determine the magnitude and the direction of the velocity at point “B" when the ball touches the ground 8- Calculate the maximum height at the point A 9- If the height of the wall is 0.8 m, indicate if the ball will touch the wall by passing above it or not
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