Physics question about a tennis ball's velocity ?

a tennis ball rolls off the edge of a table top 0.750m above the floor and strikes the floor at a point 1.40m horizontally form the edge of the table top. ignore air resistance.

a) find the time of flight
b) find the magnitude of the initial velocity
c) find the magnitude and direction of the velocity of the ball just before it strikes the floor

a. The ball simply falls a distance 0.75 m.
s = (1/2)gt^2
s = 0.75m
g = 9.8 m/s^2

0.75 = (1/2)(9.8)t^2
t = SQRT[1.5/9.8] = SQRT[0.15306]
t = 0.391 seconds

b. The ball rolls off the table so it only has a horizontal velocity component as it leaves the table. It then hits the floor 1.4 meters from the table edge. It does this 0.391 seconds after leaving the table.

speed = distance/time = 1.4/0.391
speed =3.578 m/s

c. The horizontal component we just found in part (b). We just need to find the vertical component and this is due to gravity.

v = g*t = 9.8(0.391) = 3.834 m/s

magnitude = SQRT[(3.834)^2 + (3.578)^2]
magnitude = SQRT[27.502]
magnitude = 5.244 m/s

The direction relative to the floor will be:
tan(Angle) = (vertical component)/(horizontal component)
tan(Angle) = 3.578/3.834 = 0.93321
Angle = 43.021 degrees

Roll Top Tennis for Sale on Ebay

Roll Top Tennis for Sale on Amazon

Make use of artificial turf for tennis courts

Nowadays, there is no need to delay tennis matches anymore due to wet weather conditions because artificial turf is available in the market at a large scale. With the help of these turfs putting green atmosphere in the court is not at all a big deal. One can easily arrange for tennis court lighting with the help of professionals engaged in this job. 

There are a number of people who love to play tennis but do they actually know how tennis courts are prepared either naturally or artificially. As you all know that tennis is supposed to be played on grass traditionally. US Open and Australian Open make use of synthetic hard courts whereas French open is played on clay courts. It is a fact that clay is one of the popular surfaces for playing tennis but nowadays artificial turf is gaining huge popularity amongst tennis lovers. Clay courts are also considered as gravel courts which consist of crushed sale, stone or brick. You must know that clay surface slow down the ball and provide higher bounce as compared to natural grass and hard courts. As far as construction cost is concerned it proves to be cheaper on your wallet but the maintenance cost is relatively higher than that of hard court. This kind of court need to be rolled to preserve flatness but at the same time water balance needs to be maintained. 

People are paying more and more attention towards artificial courts because they can be used for all year round. Now there is no need to delay the awaited matches from a long time because it can tackle with all kind of weather conditions. It is an easy deal of putting green surroundings in the court because artificial grass or turf is available at a large scale. If you are unaware of pros and cons of artificial courts then you must grab required information online. There are a number of websites running on internet which offers concerned stuff even for tennis court lighting at night hours. Most of the people assume that without the presence of natural grass one cannot play the match of tennis successfully but with the advent of technological advancement it has made possible. 

At last, one may conclude from the above details that synthetic turfs can serve the purpose of a tennis player even if weather conditions are not favorable. So, continue your tennis match easily with it!   

About the Author

For more information about Tennis Court Resurfacing, basketball court resurfacing visit- http://www.sportsurfaces.com/

Thank you for reading Roll Top Tennis, we hope it gives you more information about Roll Top Tennis.

Roll Top Tennis Video

Virtua Tennis 2009 PC Gameplay

Tags: tennis court, del.icio.us, Play Tennis, time water balance, tennis matches, weather conditions, hard court