In order to accelerate the dragster at a speed

, its engine must do a work equal to the increase in kinetic energy of the dragster. Since it starts from rest, the initial kinetic energy is zero, so the work done by the engine to accelerate the dragster to 100 m/s is

however, we must take into account also the fact that there is a frictional force doing work against the dragster, and the work done by the frictional force is:

and the sign is negative because the frictional force acts against the direction of motion of the dragster.
This means that the total work done by the dragster engine is equal to the work done to accelerate the dragster plus the energy lost because of the frictional force, which is

:

So, the power delivered by the engine is the total work divided by the time, t=7.30 s:

And since 1 horsepower is equal to 746 W, we can rewrite the power as
To solve this problem we will apply Newton's second law. The second law says that mass by acceleration is equivalent to the Force exerted on a body. Mathematically this

Here,
m = mass
a = Acceleration
The ball flies through the air under the effect of gravity only. Therefore the acceleration is due to gravity, we have that

Then,

Replacing


The negative sign implies that the force acting on the ball is in the downward direction that is towards the negative y direction.
I would say it's rationing: if people are only allowed a certain number of something (let's say: bottles of cooking oil), then the people who are entitled to is (as all are) but don't need is as much are likely to try to make profit by trying to sell it on a black market.
In order to find which rational number is between 0 and 1, let's convert them into their decimal form:

Looking at the numbers in their decimal form, we can see that the number between 0 and 1 is one-fourth, therefore the correct option is the second one.