Atruck with an initial speed of 12 meters per second accelerates uniformly at 2.0 meters per second2 for 3.0 seconds.  what is the total distance traveled by the truck during this 3.0-second interval?
1. 9.0
2. 25
3. 36
4. 45

The total distance traveled by the truck is 45 meters ⇒ answer 4

Explanation:

A truck with an initial speed of 12 meters per second accelerates

uniformly at 2.0 meters per second² for 3.0 seconds

The initial speed is 12 m/s

The acceleration is 2 m/s²

The time is 3 seconds

We need to find the total distance traveled by the truck during this time

interval

We need rule of distance has initial speed , acceleration and time

So we will use the rule , where u is the

initial speed, t is the time, and a is the acceleration

u = 12 m/s , a = 2 m/s² , t = 3 s

s = 36 + 9 = 45 meters

The total distance traveled by the truck is 45 meters

We want to find the total distance traveled by a truck during a constant acceleration.

We will see that the correct option is the last one, the distance traveled is 45 meters.

We know that acceleration is defined as the rate of change of the velocity.

So if the initial speed of the truck is 12 m/s and it accelerates at 2 m/s^2, the velocity equation of the truck will be:

v(t) = (2 m/s^2)*t + 12m/s    for 0s < t < 3s

To get the position equation we need to integrate over time, we will get:

p(t) = (1/2)*(2 m/s^2)*t^2 + (12m/s)*t + p₀

Where p₀ is the initial position of the truck.

Now we want to find how much distance is traveled in the 3 seconds interval when the truck accelerates, then we just need to compute:

p(3s) - p(0s) =  (1/2)*(2 m/s^2)*(3s)^2 + (12m/s)*3s = 45m

Then the correct option is the last one, the distance traveled is 45 meters.

If you want to learn more, you can read:

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answer: d. a cme increases the amount of energy in the solar wind

explanation:

coronal mass ejections, also called cmes, are large clouds of plasma and magnetic field that erupt from the sun. only when the cloud is aimed at earth will the cme hit earth and therefore cause impacts. high-speed solar wind streams come from areas on the sun known as coronal holes.

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force