How Do You Convert Acceleration from m/s^2 to km/h^2?

[Henrybar]

An airplane starts from rest and accelerates at a constant rate of 3.00 m/s^2 for 30.0s before leaving the ground. What is the airplanes velocity in km/h at the end of this interval?

Vi=0m/s
Vf=?
a=3m/s^2
Δt=30s


Not sure if I did it right or if I am also supposed to convert the acceleration to km/h before plugging into equation. If so, how do i convert 3m/s^2 to km/h^2?? Please help

 

[Panphobia]

Just get the final velocity in m/s then convert to km/h. That would be the simplest thing to do.

 

[berkeman]

An airplane starts from rest and accelerates at a constant rate of 3.00 m/s^2 for 30.0s before leaving the ground. What is the airplanes velocity in km/h at the end of this interval?

Vi=0m/s
Vf=?
a=3m/s^2
Δd=1350m
= 1.35km

Vf^2=Vi^2 + 2aΔd
Vf=2.84km/h

Not sure if I did it right or if I am also supposed to convert the acceleration to km/h before plugging into equation. If so, how do i convert 3m/s^2 to km/h^2?? Please help

You are given acceleration and time, not acceleration and distance. You need to use a different version of the kinematic equation -- one that relates velocity to acceleration and time...

And to do any units conversion, just multiply by "one". So if I wanted to convert inches to mm, for example, I'd multiply by 1 = (25.4mm/1 inch), cancel the "inch" units on the top and bottom of the fraction, and be left with the distance in mm.

 

[AlephZero]

Vf=2.84km/h

Not sure if I did it right

Check your answer using common sense. At that speed, if you were late for the check-in, you would be able to walk down the runway (not even run) and catch up the plane to get on the flight

Also, it's not "wrong" to find the distance and then the speed (if you do it right), but why not use the formula Vf = Vi + at?

 

[HalfLostAndSearching]

!

To convert m/s^2 to km/h^2, we can use the conversion factor 1 km = 1000 m and 1 h = 3600 s. This means that 1 km/h^2 = (1000m/3600s)^2 = 0.0771605 m/s^2. Therefore, to convert 3 m/s^2 to km/h^2, we multiply by the conversion factor: 3 m/s^2 * 0.0771605 km/h^2/m/s^2 = 0.2314815 km/h^2.

Now, to find the final velocity of the airplane in km/h, we can use the equation Vf = Vi + at, where Vi is the initial velocity (0 m/s), a is the acceleration in m/s^2 (3 m/s^2), and t is the time in seconds (30 s). Plugging in these values, we get Vf = 0 m/s + 3 m/s^2 * 30 s = 90 m/s.

To convert this final velocity from m/s to km/h, we can multiply by the conversion factor 3.6 km/h/m/s, which gives us Vf = 90 m/s * 3.6 km/h/m/s = 324 km/h. Therefore, at the end of the 30 second interval, the airplane's velocity will be 324 km/h.