a pool ball leaves a 0.60 meter high table with an initial high table with an initial horizontal velocity of 2.4m/s. predict the time required for the pool ball to fall to the ground and the horizontal distance between the tables edge and the balls landing location

Respuesta :

Ball leaves the table of height 0.60 m

Initial speed of the ball is in horizontal direction which is 2.4 m/s

Now here we can say that time taken by the ball to hit the ground will be given by kinematics equation in vertical direction

[tex]\Delta y = v_y*t + \frac{1}{2}at^2[/tex]

here in y direction we can say

[tex]\Delta y  = 0.60 m[/tex]

[tex]v_y = 0[/tex]

[tex]a = 9.8 m/s^2[/tex] due to gravity

now from above equation we have

[tex]0.60 = 0 + \frac{1}{2}*9.8*t^2[/tex]

[tex]t = 0.35 s[/tex]

Now in the same time the distance that ball move in horizontal direction is given as

[tex]d = v_x* t[/tex]

given that

[tex]v_x = 2.4 m/s[/tex]

[tex]d = 2.4 * 0.35[/tex]

[tex]d = 0.84 m[/tex]

So it will move a total distance of 0.84 m where it will land