This is a kinematic problem that asks us to determine the velocity of an object in a time frame given the plot of time in the x-axis and distance,x, in the y-axis. The figure that shows the behavior of the object is shown in the diagram. Segment C is going down which means the object is decelerating indicated by the negative slope. E on the other hand also has a negative slope as the line is also going down but less steep than that of c. slope is equal to change in y over the change in x. So given a definite change in y, a shorter change in x would make a greater slope, hence, becoming steeper. The speed then is C is higher than the speed in E.

It could be rock music because of his face expresion

**Answer:**

B

**Explanation:**

Forces are pushes or pulls. They can be balanced or unbalanced. If unbalanced they can change the shape of objects and change the way they are moving (speed-wise)

**Answer:**

ΔX = 0.0483 m

**Explanation:**

Let's analyze the problem, the car oscillates in the direction y and advances with constant speed in the direction x

The car can be described with a spring mass system that is represented by the expression

y = A cos (wt + φ)

The speed can be found by derivatives

= dy / dt

= - A w sin (wt + φ

So that the amplitude is maximum without (wt + fi) = + -1

= A w

X axis

Let's reduce to the SI system

vₓ = 15 km / h (1000 m / 1 km) (1h / 3600s) = 4.17 m / s

As the car speed is constant

vₓ = d / t

t = d / v
ₓ

t = 4 / 4.17

t = 0.96 s

This is the time between running two maximums, which is equivalent to a full period

w = 2π f = 2π / T

w = 2π / 0.96

w = 6.545 rad / s

We have the angular velocity we can find the spring constant

w² = k / m

m = 1200 + 4 80

m = 1520 m

k = w² m

k = 6.545² 1520

k = 65112 N / m

Let's use Newton's second law

F - W = 0

F = W

k x = W

x = mg / k

Case 1 when loaded with people

x₁ = 1520 9.8 / 65112

x₁ = 0.22878 m

Case 2 when empty

x₂ = 1200 9.8 / 65112

x₂ = 0.18061 m

The height variation is

ΔX = x₁ -x₂

ΔX = 0.22878 - 0.18061

ΔX = 0.0483 m

**Explanation:**

Newtons 1st law :

A body or object is in a state of continuous motion or in a state of rest unless an outside force is applied to it.

Newtons 2nd law :

Newtons second law states that the force applied is directly proportional to the mass of the body and the acceleration with which it travels.

Newtons 3rd law :

Every force applied has an equal and opposite force.

a). Newtons 3rd law

b). Newtons 2nd law

c). Newtons 1st law

d). Newtons 3rd law

e). Newtons 1st law