Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
[tex]x = 4.70 \ m[/tex] , [tex]y = 0.2803 \ m[/tex]
Explanation:
From the question we are told that
The initial velocity of the arcade ball is [tex]u = 7.0 \ m/s[/tex]
The time taken by the ball to enter the basket is [tex]t = 0.95 \ s[/tex]
Generally the x -component of the initial velocity is
[tex]u_x = 7 * cos (45)[/tex]
=> [tex]u_x = 4.95 \ m/s[/tex]
Generally the y -component of the initial velocity is
[tex]u_x = 7 * sin(45)[/tex]
=> [tex]u_y = 4.95 \ m/s[/tex]
Generally the distance x is mathematically represented as
[tex]x = u_x * t[/tex]
=> [tex]x = 4.95 * 0.95[/tex]
=> [tex]x = 4.70 \ m[/tex]
Generally from kinematic equation the distance y is mathematically represented as
[tex]y = u_y * t - \frac{1}{2} * g * t^2[/tex]
=> [tex]y = 4.95 * 0.95 - \frac{1}{2} * 9.8 * 0.95^2[/tex]
=> [tex]y = 0.2803 \ m[/tex]
