How Do You Calculate Acceleration and Distance in One Dimensional Motion?

In summary, the conversation involves finding the distance a car traveled and its constant acceleration when accelerating uniformly from rest to a speed of 40 mi/h in 12.0 seconds. The correct equations to use are provided and the correct conversion from mph to m/s is 17.88 m/s. The distance traveled is 120 m and the constant acceleration is approximately 2 m/s^2. The conversion and rounding methods may vary depending on the teacher's instructions.
  • #1
Teenytiny1991
14
0

Homework Statement



A car accelerates uniformly from rest to a speed of 40 mi/h in 12.0 secs find A) the distance the car traveled during this time and B) the constant accelaration of the car

Homework Equations



a) Displacement of an object as a function of time: delta x =1/2(v0+v)T
B) Velocity as a function of discplacment = v^2= v0^2 + 2a delta x


The Attempt at a Solution


A) delta x = 1/2(0 + 20 m/s) 12
answer for part a = delta x = distance =120 m is this right?

B)(20 m/s)^2= 0^2 + 2a(120m)
400 m^2/s^2= 240ma
cross cancellation = answer for part b constant accelaration= 1.666666667= approx 2 m/s^2
Is this right?
 
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  • #2
Your equations are right, but your conversion from mph to m/s is not quite correct. It's not exactly half, it's more like 0.447
 
  • #3
I'm sorry, what do you mean.

40 mi/h x 1h/60min x 1min/60 sec x 1609m/ 1 mi = 17.87777778 m/s but since there is only one sig fig i rounded it up to twnety. is that not how i should have gone about converting it?
 
  • #4
No, you did the conversion correctly, but you shouldn't worry about sig figs until the very end. Keep the 17.88 and then round when you're done. If your teacher told you otherwise, then your answer is right and you're done :)
 

Related to How Do You Calculate Acceleration and Distance in One Dimensional Motion?

1. What is one dimensional motion of a car?

One dimensional motion of a car refers to the movement of a car in a straight line, along a single axis. It does not take into account any lateral or vertical movement.

2. How is the speed of a car calculated in one dimensional motion?

The speed of a car in one dimensional motion is calculated by dividing the distance traveled by the time taken to cover that distance. This is represented by the formula: speed = distance / time.

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

Speed is a scalar quantity that only takes into account the magnitude of the movement, while velocity is a vector quantity that includes both the magnitude and direction of the movement. In one dimensional motion, the speed and velocity of a car will be the same as there is only one direction of motion.

4. How is acceleration calculated in one dimensional motion?

Acceleration in one dimensional motion is calculated by dividing the change in velocity by the time taken. The formula for acceleration is: acceleration = (final velocity - initial velocity) / time.

5. What factors can affect the one dimensional motion of a car?

The one dimensional motion of a car can be affected by factors such as friction, air resistance, and the slope of the surface it is traveling on. The mass and shape of the car can also impact its motion.

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