An experimental rocket car starting from rest reaches a speed of 530 km/h after a straight 370 m run on a level salt flat. Assuming that acceleration is constant, answer the following questios.
- what was the time of the run?(s)
- What is the magnitude of the acceleration? (m/s^2)
Well, well, well, strap yourselves in because we're about to go on a wild ride with this rocket car!
To find the time of the run, we can use the formula:
time = distance / speed
Plugging in the distance of 370 m and the speed of 530 km/h (which we should convert to m/s for consistency), we get:
time = 370 m / (530 km/h * (1000 m/1 km) * (1 h/3600 s))
After some quick calculations, the time of the run comes out to be approximately 2.93 seconds. So, hold on tight for those exhilarating 2.93 seconds!
Now, to find the magnitude of the acceleration, we can use another formula:
acceleration = (final velocity - initial velocity) / time
Here, the initial velocity is 0 m/s (since we're starting from rest), the final velocity is 530 km/h (which we'll convert to m/s as well), and the time is the same 2.93 seconds we found earlier.
Plugging in the values, we get:
acceleration = (530 km/h * (1000 m/1 km) * (1 h/3600 s)) / 2.93 s
After a bit of math-ing, the magnitude of the acceleration comes out to be approximately 63.11 m/s^2. Whoa, that's quite a kick in the back! That rocket car isn't messing around!
So, to sum it up, the time of the run is about 2.93 seconds, and the magnitude of the acceleration is approximately 63.11 m/s^2. Hold on tight and enjoy the ride, my friend!