I need help with the second part of this question. Please show work so I can see. Thanks.
I. The fastest land mammal, the cheetah, can accelerate from 0 mi/hr to 70.0 mi/hr in 3.0 seconds. What is the acceleration of the cheetah? Give your answer in units of mph/sec. I got 23.3 for my answer.
The Lamborghini Diablo sports car accelerates from 0.0 km/hr to 99.2 km/hr in 4.0 seconds. What is the acceleration of this car? Give your answer in units of kilometers per hour/sec. 7.
I got 24.8 kph/s as the answer for the above.
II. Which has a greater acceleration, the cheetah or the Lamborghini Diablo? (To figure this out, you must remember that there are 1.6 km in one mile) Be sure to show your calculations
SInce 1 mi = 1,6 km,
1 mi/hr/s = 1.61km/hr/s
So,
23.3 mi/hr/s = 37.5 km/hr/s
So, now you can compare them.
How did you do the work? I don't see it, not getting it.
To compare the acceleration of the cheetah and the Lamborghini Diablo, we need to convert the acceleration of the cheetah from mph/sec to km/hr/sec.
Given that there are 1.6 km in one mile, we can use the conversion factor to convert the acceleration of the cheetah:
Acceleration of the cheetah = 23.3 mph/sec
Conversion factor: 1.6 km/mi
Acceleration of the cheetah (km/hr/sec) = (23.3 mph/sec) * (1.6 km/mi) = 37.28 km/hr/sec
So, the acceleration of the cheetah is 37.28 km/hr/sec.
Now, let's compare this with the acceleration of the Lamborghini Diablo, which is already in km/hr/sec.
Acceleration of the Lamborghini Diablo = 24.8 km/hr/sec
Comparing the two accelerations, we can see that the cheetah has a greater acceleration (37.28 km/hr/sec) compared to the Lamborghini Diablo (24.8 km/hr/sec).
Therefore, the cheetah has a greater acceleration than the Lamborghini Diablo.
To compare the accelerations of the cheetah and the Lamborghini Diablo, we need to convert their respective units to a common unit.
For the cheetah:
Acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity = 0 mi/hr
Final velocity = 70.0 mi/hr
Time = 3.0 seconds
Acceleration = (70.0 mi/hr - 0 mi/hr) / 3.0 s
To convert mi/hr to mph/sec, we need to multiply by a conversion factor. There are 3600 seconds in an hour, so:
Acceleration = (70.0 mi/hr - 0 mi/hr) / 3.0 s * (1 hr/3600 s)
Simplifying, we get:
Acceleration = (70.0 / 3.0) * (1/3600) mph/sec
Acceleration ≈ 0.019 mi/hr/sec
For the Lamborghini Diablo:
Acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity = 0.0 km/hr
Final velocity = 99.2 km/hr
Time = 4.0 seconds
Acceleration = (99.2 km/hr - 0.0 km/hr) / 4.0 s
To convert km/hr to km/hr/sec, we don't need to multiply by any conversion factor.
Acceleration = (99.2 km/hr - 0.0 km/hr) / 4.0 s
Acceleration = 99.2 km/hr / 4.0 s
Acceleration = 24.8 km/hr/sec
To compare the accelerations, we need to convert the cheetah's acceleration to km/hr/sec. We know there are 1.6 km in one mile, so:
Acceleration in km/hr/sec = 0.019 mi/hr/sec * (1.6 km/mi)
Simplifying, we get:
Acceleration in km/hr/sec ≈ 0.019 * 1.6 km/hr/sec
Acceleration in km/hr/sec ≈ 0.0304 km/hr/sec
Therefore, the cheetah's acceleration is 0.0304 km/hr/sec, while the Lamborghini Diablo's acceleration is 24.8 km/hr/sec.
Since the Lamborghini Diablo has a greater acceleration, the answer is that the Lamborghini Diablo has a greater acceleration than the cheetah.