One-Dimensional Motion With Constant Acceleration

In summary, the conversation is about finding the original speed and acceleration of a truck that covers 40.0 m in 8.50 s while slowing down to a final velocity of 2.80 m/s. The original speed is found using the equation x=1/2(vo+v)t, which gives a result of 6.61 m/s. The acceleration is found using the equation v=vo+at, which gives a result of -0.448 m/s^2. The person initially had incorrect calculations, but after realizing their mistake, they were able to find the correct answers.
  • #1
WonkySlinky
2
0
A truck covers 40.0 m in 8.50 s while smoothly slowing down to a final velocity of 2.80 m/s

a. Find the truck's original speed.

b. Find its acceleration


a) I'm using x=1/2(vo+v)t to find the original velocity but I keep getting vo=12.21m/s (the books answer is 6.61m/s)

b) For the second part to find acceleration I'm using v=vo+at which gives me a=-1.1m/s^2 (the books answer is -0.448m/s^2)

I don't know what I'm doing wrong
 
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  • #2
[I'm using x=1/2(vo+v)t to find the original velocity but I keep getting vo=12.21m/s (the books answer is 6.61m/s)]

Show this calculation.
 
  • #3
40=1/2(vo+2.8)8.5

40(2)/8.5=vo+2.8

9.41=vo+2.8

Ahhh I see now, I had a minus sign in there before. I'm getting the right answer now.

vo=6.61m/s

Thanks so much for the response, you've helped me avoid a total meltdown. Seriously, I appreciate it.
 

Related to One-Dimensional Motion With Constant Acceleration

1. What is one-dimensional motion with constant acceleration?

One-dimensional motion with constant acceleration is the movement of an object along a straight line with a consistent change in velocity over time. This means that the acceleration of the object remains constant throughout the motion.

2. How is acceleration calculated in one-dimensional motion with constant acceleration?

The acceleration in one-dimensional motion with constant acceleration can be calculated using the formula a = (vf - vi)/t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval.

3. What is the difference between velocity and acceleration in one-dimensional motion?

Velocity is the rate of change of an object's position in a specific direction, while acceleration is the rate of change of an object's velocity. In one-dimensional motion, velocity and acceleration are both measured along a straight line.

4. What are some real-life examples of one-dimensional motion with constant acceleration?

Some examples of one-dimensional motion with constant acceleration include a car accelerating or decelerating on a straight road, a roller coaster moving along a straight track, and a ball falling due to gravity in a vacuum.

5. How does one-dimensional motion with constant acceleration relate to Newton's Laws of Motion?

In one-dimensional motion with constant acceleration, Newton's Second Law of Motion (F = ma) can be used to calculate the acceleration of an object. This law states that the net force acting on an object is equal to its mass multiplied by its acceleration.

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