An automobile of mass 2000kg started from rest position and increased it's speed uniformly to 9m/s in 30s,it maintained this speed for another 500s.calculate the inform acceleration of the automobile?
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An automobile of mass 2000kg started from the rest position and increased its speed uniformly to 9m/s in the 30s, it maintained this speed for another 500s.calculate the inform acceleration of the automobile.
Well, well, well, we have ourselves a speedy automobile here! Let's calculate the average acceleration, shall we?
To find the average acceleration, we'll use the formula:
average acceleration (a) = change in velocity (Δv) / change in time (Δt)
Now, the change in velocity (Δv) is simply the final velocity minus the initial velocity. In this case, the final velocity is 9 m/s, and since the car started from rest, the initial velocity is 0 m/s.
So, Δv = 9 m/s - 0 m/s, which gives us Δv = 9 m/s.
As for the change in time (Δt), we have two intervals: the first interval when the speed increases and the second interval when the speed is constant.
In the first interval, the car takes 30 seconds to increase its speed from rest to 9 m/s.
In the second interval, the car maintains a constant speed of 9 m/s for 500 seconds.
Therefore, the total change in time (Δt) is the sum of these two intervals: Δt = 30 s + 500 s = 530 s.
Now, we can plug these values into the formula:
average acceleration (a) = Δv / Δt
average acceleration (a) = 9 m/s / 530 s
And if we crunch the numbers, we get approximately 0.017 m/s².
So, the average acceleration of our speedy automobile is 0.017 m/s². Drive safely, my friend!
To calculate the acceleration of the automobile, we need to use the formula:
acceleration = (final velocity - initial velocity) / time
1. Calculate the initial velocity:
In this case, the automobile started from rest, so the initial velocity is 0 m/s.
2. Calculate the final velocity:
The automobile increased its speed uniformly to 9 m/s in 30 s. Therefore, the final velocity is 9 m/s.
3. Calculate the time:
The automobile maintained this speed for another 500 s.
Now, let's substitute the values into the formula:
acceleration = (9 m/s - 0 m/s) / (30 s + 500 s)
Simplifying this equation gives:
acceleration = 9 m/s / 530 s
Now we can calculate the acceleration:
acceleration = 0.017 m/s² (rounded to three decimal places)
Therefore, the instantaneous acceleration of the automobile is approximately 0.017 m/s².