An arrow, starting from rest, leaves the bow with a speed of25
m/s. if the average force exerted on the arrow by the bowwere
tripled, all else remaining the same, with what speed wouldthe
arrow leave the bow?

Explanation:

We can use the following kinematics equation

where is the final speed, its the initial speed, a is the acceleration, and d the distance.

The force will be tripled, the force is:

in 1D

Now, for the original problem, we have

For the second problem, we have

starting from the rest, we have the same initial velocity.

As the force is tripled, we have:

But the mass its the same,  so

So the acceleration its also tripled.

As the distance traveled by the arrow must also be the same, we have:

And this will be the speed from the arrow leaving the bow.

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.