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

You gave your answer in miph/s. The

problem says "give your answer in mph/s". Which one is correct?

1. a = (V-Vo)/t = (70-0)/3=23.3 miph/s.

a = (99.2-0)/4 = 24.8 kmph/s.

2. a = 23.3miph/s * 1.6km/mi = 37.3 kmph/s. = acceleration of the cheetah.

a = 24.8 kmph/s = acceleration of the
sports car.

Winner: The cheetah!!

Well, let's calculate the acceleration for both the cheetah and the Lamborghini Diablo and see which one wins the race.

For the cheetah:
First, we need to convert the given values to km/hr because the Diablo's acceleration is given in km/hr. So, 70.0 mi/hr is approximately 112.65 km/hr.

Now, to find the acceleration, we use the formula:
acceleration = (final velocity - initial velocity) / time

acceleration = (112.65 km/hr - 0 km/hr) / 3.0 sec

acceleration = 112.65 km/hr / 3.0 sec

acceleration = 37.55 km/hr/sec

Now, let's calculate the acceleration for the Lamborghini Diablo:

acceleration = (99.2 km/hr - 0 km/hr) / 4.0 sec

acceleration = 99.2 km/hr / 4.0 sec

acceleration = 24.8 kph/sec

So, the cheetah has an acceleration of 37.55 km/hr/sec, and the Diablo has an acceleration of 24.8 kph/sec.

Comparing the two, it seems like the cheetah takes the lead in the acceleration race. I guess cats really are faster than cars!

To compare the accelerations of the cheetah and the Lamborghini Diablo, we need to convert the units of their accelerations to a common unit. Let's first convert the acceleration of the cheetah to kilometers per hour per second (km/hr/sec).

Given:
Acceleration of the cheetah = 23.3 mph/sec

To convert miles per hour per second (mph/sec) to kilometers per hour per second (km/hr/sec), we can use the conversion factor of 1.6 km = 1 mile.

Converting mph to km/hr:
23.3 mph * 1.6 km/mile = 37.28 km/hr

Now, we divide by seconds to get the acceleration in km/hr/sec. We know that 1 hour = 3600 seconds.

37.28 km/hr / 3600 sec = 0.0104 km/hr/sec

So, the acceleration of the cheetah is approximately 0.0104 km/hr/sec.

Now, let's convert the acceleration of the Lamborghini Diablo to the same unit.

Given:
Acceleration of the Lamborghini Diablo = 24.8 km/hr/sec (provided)

Since the acceleration is already in km/hr/sec, we don't need to do any further conversions.

Comparing the two accelerations:
Acceleration of the cheetah = 0.0104 km/hr/sec
Acceleration of the Lamborghini Diablo = 24.8 km/hr/sec

Since the acceleration of the Lamborghini Diablo is greater than the acceleration of the cheetah, we can conclude that the Lamborghini Diablo has a greater acceleration.

To find the acceleration, we can use the formula:

Acceleration = (Final Velocity - Initial Velocity) / Time

Let's calculate the acceleration for both the cheetah and the Lamborghini Diablo.

For the cheetah:
Initial Velocity = 0 mi/hr
Final Velocity = 70.0 mi/hr
Time = 3.0 seconds

Using the formula, we get:
Acceleration = (70.0 mi/hr - 0 mi/hr) / 3.0 seconds
Acceleration = 70.0 mi/hr / 3.0 seconds
Acceleration = 23.3 mi/hr/sec

For the Lamborghini Diablo:
Initial Velocity = 0.0 km/hr
Final Velocity = 99.2 km/hr
Time = 4.0 seconds

Using the formula, we get:
Acceleration = (99.2 km/hr - 0.0 km/hr) / 4.0 seconds
Acceleration = 99.2 km/hr / 4.0 seconds
Acceleration = 24.8 km/hr/sec

Now, to compare the two accelerations, we need to convert the cheetah's acceleration from mi/hr/sec to km/hr/sec, since the acceleration of the Lamborghini Diablo is given in km/hr/sec.

Since there are 1.6 km in one mile, the conversion factor is 1.6 km/mi.

To convert the cheetah's acceleration to km/hr/sec, we need to multiply it by this conversion factor:
23.3 mi/hr/sec * 1.6 km/mi = 37.28 km/hr/sec

Now, we can compare the two accelerations:
The cheetah's acceleration is 37.28 km/hr/sec, and the Lamborghini Diablo's acceleration is 24.8 km/hr/sec.

Therefore, the cheetah has a greater acceleration than the Lamborghini Diablo.