Once all of the passengers aboard it a train leaves the station and it takes 30 minutes to reach its maximum velocity once at maximum velocity train travels the next 6.30×10^2 km for the next 12.6 hours what is the acceleration of the train leaving the station. Do we find the final velocity by using v=deltax/t first? What should I do after that?
yes, the final velocity is
∆x/∆t = 630km/12.6hr = 50 km/hr
So, the acceleration is ∆v/∆t:
(50km/hr)/(1/2 hr) = 100km/hr^2
You might want to put that into standard SI units of m/s^2.
Jupiter has an Equatorial radius of sour 1.7x10^4 km and it's period of rotation is 9 hours and 50 minutes. Calculate the average speed (in m/s) of an Equatorial point during one period of jupiter's rotation. Is the velocity different than the speed? How do I even go about finding the average speed of the Equatorial point?
To find the acceleration of the train leaving the station, we first need to find the final velocity. Yes, you can use the equation v = Δx/t, where v represents the final velocity, Δx is the displacement, and t is the time taken.
Given that it takes 30 minutes (which is equal to 0.5 hours) for the train to reach its maximum velocity, we can use this information to find the final velocity during this time:
v = Δx/t
v = 0.5 hours
Now, in order to find the displacement (Δx), we need to know the distance covered by the train in the 12.6 hours after reaching its maximum velocity.
Distance (d) = 6.30 × 10^2 km
Time (t) = 12.6 hours
Using the formula v = Δx/t, we can rearrange it to find Δx:
Δx = v * t
Δx = (final velocity) * (total time)
Now, substitute the known values into the equation. The final velocity is the one you found earlier, and the total time is the sum of the time it takes to reach maximum velocity (0.5 hours) and the additional 12.6 hours:
Δx = (v during 0.5 hours) * (0.5 + 12.6) hours
Once you have found the value of Δx, you can calculate the acceleration (a) using the formula:
a = (final velocity - initial velocity) / t
where the initial velocity is assumed to be zero (as the train starts from rest).
This process allows you to find the acceleration of the train leaving the station by calculating the final velocity using v = Δx/t and subsequently using it to determine the acceleration using a = (final velocity - initial velocity) / t.