Answer:
The change in velocity is 15.83 [m/s]
Explanation:
Using the Newton's second law we have:
ΣF = m*a
The force in the graph is 185 N, therefore:
![185=0.369*a\\Where\\a=acceleration made it by the force [m/s^2]](https://tex.z-dn.net/?f=185%3D0.369%2Aa%5C%5CWhere%5C%5Ca%3Dacceleration%20made%20it%20by%20the%20force%20%5Bm%2Fs%5E2%5D)
![a=501.35[m/s^2]](https://tex.z-dn.net/?f=a%3D501.35%5Bm%2Fs%5E2%5D)
Now using the following kinematic equation:
![V^{2}=Vi^{2} + 2*a*(x-xi) \\where\\V=final velocity [m/s]\\Vi= initial velocity [m/s] = 0 the hockey disk is in rest when receives the hit.\\ x = Final position [m] = 0.4 m\\xi = initial position [m] = 0.15m\\](https://tex.z-dn.net/?f=V%5E%7B2%7D%3DVi%5E%7B2%7D%20%2B%202%2Aa%2A%28x-xi%29%20%5C%5Cwhere%5C%5CV%3Dfinal%20velocity%20%5Bm%2Fs%5D%5C%5CVi%3D%20initial%20velocity%20%5Bm%2Fs%5D%20%3D%200%20the%20hockey%20disk%20is%20in%20rest%20when%20receives%20the%20hit.%5C%5C%20x%20%3D%20Final%20position%20%5Bm%5D%20%3D%200.4%20m%5C%5Cxi%20%3D%20initial%20position%20%5Bm%5D%20%3D%200.15m%5C%5C)
Now replacing the values:
![V^{2}=0 + 2*501.35*(0.4-0.15)\\ \\V= 15.83[m/s]](https://tex.z-dn.net/?f=V%5E%7B2%7D%3D0%20%2B%202%2A501.35%2A%280.4-0.15%29%5C%5C%20%5C%5CV%3D%2015.83%5Bm%2Fs%5D)
Speed. This ONLY includes the miles per hour. If it had a direction it would be velocity.

Actually Welcome to the Concept of the Kinematics.
1.) Distance travelled = 15+20 = 35 miles.
Ai the total distance covered is 35 miles.
2.) Displacement is the shortest distance from the initial point to the final point.
here it's ==> 20-15 = 5 miles
hence, displacement = 5 miles
<u>Answer</u>
C.) 1.0 x 10^2 Newton’s
<u>Explanation</u>
The Newton's second law of motion states that, the rate of change of momentum is proportional to the force producing it.
∴ F = (mv- mu)/t
Ft = mv - mu.
The quantity Ft is called the impulse.
Ft = 0.30 Newton seconds
but t = 3.0 x 10⁻³ seconds
Ft = 0.30 Ns
F × 3.0 x 10⁻³ = 0.30 Ns
F = 0.30 / (3.0 x 10⁻³)
= 100 N
Answer = C.) 1.0 x 10^2 Newton’s