How far did the car travel in the fourth second?

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In summary, the distance traveled by a car in the fourth second is calculated by multiplying its velocity by the time elapsed. This formula is distance = velocity x time, where distance is measured in meters, velocity in meters per second, and time in seconds. The distance cannot be negative and is affected by the car's acceleration, which can result in a greater distance traveled compared to previous seconds. However, the total distance traveled will always be greater than or equal to the distance traveled in the fourth second.
  • #1
lauralovesyou
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Homework Statement


A car accelerates from 14 m/s to 26m/s in 4s. How far did the car travel in the fourth second?


Homework Equations


a=vf-vi/t = 26-14/4=3

d=vf^2-vi^2/2a=26^2-14^2/3=80


The answer is 24.5, but I keep getting 80 and I don't know why.
 
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  • #2


Your answer is correct, perhaps the book is wrong?
 
  • #3


You've worked out the distance traveled in four seconds, the question is asking for the distance traveled in the fourth second.

If you're still stuck;

Try using the equation d = vi * t + (0.5 * a * t2)
Use it to work out how far the car travels in three seconds, then how far it travels in four seconds (your value of 80m is correct).
Then use the two to work out how far it traveled in the fourth second.
 

FAQ: How far did the car travel in the fourth second?

1. How is the distance traveled by a car calculated in the fourth second?

The distance traveled by a car in the fourth second is calculated by multiplying the car's velocity (in meters per second) by the time elapsed (in seconds). This gives the distance in meters traveled by the car in the fourth second.

2. What is the formula for calculating the distance traveled by a car in the fourth second?

The formula for calculating the distance traveled by a car in the fourth second is distance = velocity x time. This is a basic formula in physics, where distance is measured in meters, velocity in meters per second, and time in seconds.

3. Can the distance traveled by a car in the fourth second be negative?

No, the distance traveled by a car in the fourth second cannot be negative. Distance is a measure of how far an object has traveled, and it is always a positive value. If a car changes direction in the fourth second, the distance traveled will be positive in the new direction.

4. How does the acceleration of the car affect the distance traveled in the fourth second?

The acceleration of the car affects the distance traveled in the fourth second by increasing or decreasing the car's velocity. The greater the acceleration, the greater the change in velocity and therefore the greater the distance traveled in the fourth second.

5. Can the distance traveled by a car in the fourth second be greater than the total distance traveled?

Yes, it is possible for the distance traveled by a car in the fourth second to be greater than the total distance traveled. This can happen if the car is accelerating and the velocity is increasing in the fourth second, resulting in a larger distance traveled compared to the previous seconds. However, the total distance traveled will always be greater than or equal to the distance traveled in the fourth second.

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