Respuesta :
The unknown variables in the model equation for ball's motion include vertical distance traveled by the ball which is 31.86 m and the final velocity of the ball which is 25 m/s.
The given parameter;
- time of motion of the ball, t = 2.55 s
The equations that model the motion of the ball is given as follows;
[tex]h = v_0_y + \frac{1}{2} gt^2[/tex]
[tex]v_f = v_0_y + gt[/tex]
All the unknown variables in the equations include;
- [tex]v_0_y[/tex] is the initial vertical velocity of the ball, = 0
- g is the acceleration due to gravity = 9.8 m/s²
- h is the vertical distance traveled by the ball = ?
- [tex]v_f[/tex] is the final velocity of the ball = ?
The vertical distance traveled by the ball is calculated as follows;
[tex]h = \frac{1}{2} gt^2\\\\h = 0.5 \times 9.8 \times 2.55^2\\\\h = 31.86 \ m[/tex]
The final velocity of the ball is calculated as follows;
[tex]v_f = 0 + 9.8(2.55)\\\\v_f = 25 \ m/s[/tex]
Thus, the unknown variables in the model equation for ball's motion include vertical distance traveled by the ball which is 31.86 m and the final velocity of the ball which is 25 m/s.
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