Using the equation a = (v-u)/t
where a = acceleration, v=final velocity, u=initial velocity and t=time,
v=25, u=0, t=30.
a=(25-0)/30
a=0.83 miles s^-2 (miles per second squared, or miles per second per second; not that any of them are particularly SI - try 1335.75552 m s^-2, or 1336 m s^-2)
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100 miles/50 seconds= 2 miles per second average speed
Per second per second or (/s/s) refers to the rate of acceleration. If you are standing still and you increase your speed at a rate of 5 feet per second per second that means after 1 second you'll be moving at 5 feet per second, after two seconds you'll be moving at 10 feet per second, after three seconds you'll be moving at 15 feet per second, and so on. Every second that goes by, 5 more feet per second will be added to your speed. So 5ft/s/s is a rate of acceleration. An easier example to understand, instead of per second per second, is per hour per second. If you are in a car that is standing still and you increase your speed at a rate of 5 miles per hour per second that means after 1 second you'll be traveling at 5 miles per hour. After 2 seconds your speed will have reached 10 mph. After 10 seconds you'll be traveling at 50mph. Each second that goes by you add 5mph to the speed.
Acceleration = change in speed/time = (20-5)/3 = 15/3 = 5 units of speed per second. It is not possible to be any more precise because the unit of speed (kilometres per hour, miles per hour, metres per second) is unspecified.
Force = mass x acceleration Therefore you need to know what time it takes to accelerate the 250 gramme ball from zero to 50 miles per second. ( 50 mi/s is supersonic, did you mean 50mph?) Acceleration = (final velocity - initial velocity) divided by time. Therefore a = (80 467.2 m.s-1 - 0) / t seconds. Therefore force (Newtons) = 0.25 kilogramme x 80 467.2 m.s-1 / t seconds. (80 467.2 metres per second = 50 miles per second) (no baseball pitcher can ever achieve that, by the way).
There are 3600 seconds in an hour. Therefore going at 3600 miles per hour is equivalent to 1 miles per second.