A car accelerates uniformly from 10m/s to 24m/s.Ehat is its average speed?
you add the to number and divide by 2 because there 2 number in total...you working out the mean
so,
10 + 24 = 34
34 divided by 2 = 17
your answer= 17m/s
average speed? What the average of 10 and 24?
answer: averagespeed=(24+10)/2
HS: It never helps a student to give them the answer.
I wasn't exactly doing that
I thought it will help if I gave the answer so if they have a harder one or relatively the same they can refer to it as an example
I don't want to confuse the situation
To find the average speed of the car, we need to use the formula:
Average speed = Total distance / Total time
However, since we only have the initial and final velocities, we don't have the necessary information to directly compute the average speed. Instead, we can calculate the total distance traveled and then divide it by the total time taken.
To compute the total distance traveled, we can use the formula:
Total distance = (Final velocity^2 - Initial velocity^2) / (2 * acceleration)
Given that the initial velocity (u) is 10 m/s, the final velocity (v) is 24 m/s, and the acceleration (a) is uniform, we can solve for the total distance.
Total distance = (24^2 - 10^2) / (2 * a)
Now, to find the acceleration (a), we can use the formula:
Acceleration = (Final velocity - Initial velocity) / Time
Since we don't have the time (t) given, we can find it using the formula:
Time = (Final velocity - Initial velocity) / Acceleration
In this case, the acceleration is uniform, so we can find the time it took for the car to accelerate from 10 m/s to 24 m/s.
Time = (24 - 10) / Acceleration
Once we have the acceleration and the time, we can substitute those values back into the equation for the total distance to calculate it.
Finally, to find the average speed, we divide the total distance traveled by the total time taken:
Average speed = Total distance / Total time
By following this method, we can reach the required answer, the average speed of the car.