No work was done to the car. All of your effort was spent pushing the ball.
You pushed it until its speed was 25 m/s. Its kinetic energy is then (1/2) (m) (v)2 = 50 x 625 = 31,250 joules.
That's the work that you put into the ball. The car is still just sitting there.
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To calculate the velocity of the ball just before it hits the ground, we can use the equation of motion: velocity = acceleration x time. The acceleration due to gravity is approximately 9.8 m/s^2. Given the time of 3.0 seconds, we can plug these values into the equation to find the velocity. Therefore, the velocity of the ball just before it hits the ground is 29.4 m/s.
it is 10 meters per second straight down
The overall velocity would increase. The ball would then have a curved path with some velocity vector in the North South direction and some vector in the East West Direction
The horizontal velocity has no bearing on the time it takes for the ball to fall to the floor and, ignoring the effects of air resistance, will not change throughout the ball's fall, so you know Vx. The vertical velocity right before impact is easily calculated using the standard formula: d - d0 = V0t + [1/2]at2. For this problem, let's assume the floor represents zero height, so the initial height, d0, is 2. Further, substitute -g for a and assume an initial vertical velocity of zero, which changes our equation to 0 - 2 = 0t - [1/2]gt2. Now, solve for t. That gives you the time it takes for the ball to hit the floor. If you divide the distance traveled by that time, you know the average vertical velocity of the ball. Double that, and you have the final vertical velocity! (Do you know why?) Now do the vector addition of the vertical velocity and the horizontal velocity. Remember, the vertical velocity is negative!
The average velocity of a baseball is very nearly zero. From the time it leaves the factory until the time its outer coat is ripped off and the ball is discarded, it spends almost all of the time in a box on a shelf, and only a very small part of the time in motion.