Answer:
We will analyze the acceleration of a car and a drag racer in this answer, using authoritative sources to provide accurate information. We will bold the answer and provide three references at the end of the answer.
1. Car Acceleration:
A car accelerates from 0 to 100 km/hr in 10 seconds. To find its acceleration, we can use the formula:
a = Δv / Δt
where a is the acceleration, Δv is the change in velocity (which is the final velocity minus the initial velocity), and Δt is the time over which the acceleration occurs.
We know that the car's initial velocity is 0 km/hr, and its final velocity is 100 km/hr. We can calculate the change in velocity as:
Δv = 100 km/hr - 0 km/hr = 100 km/hr
Now, we need to find the time over which the acceleration occurs. We are given that the car accelerates from 0 to 100 km/hr in 10 seconds, so:
Δt = 10 s
Now we can plug in the values and calculate the acceleration:
a = Δv / Δt = 100 km/hr / 10 s = 10 km/hr^2
2. Drag Racer Acceleration:
A drag racer can accelerate from rest to 400 km/hr in 5 seconds. To find its acceleration, we can use the same formula:
a = Δv / Δt
We know that the drag racer's initial velocity is 0 km/hr, and its final velocity is 400 km/hr. We can calculate the change in velocity as:
Δv = 400 km/hr - 0 km/hr = 400 km/hr
Now, we need to find the time over which the acceleration occurs. We are given that the drag racer accelerates from rest to 400 km/hr in 5 seconds, so:
Δt = 5 s
Now we can plug in the values and calculate the acceleration:
a = Δv / Δt = 400 km/hr / 5 s = 80 km/hr^2
3. Comparison of Accelerations:
Now that we have found the accelerations of the car and the drag racer, we can compare them. The car's acceleration is 10 km/hr^2, while the drag racer's acceleration is 80 km/hr^2.
We can see that the drag racer's acceleration is much higher than the car's acceleration. This is because the drag racer has a much more powerful engine and can accelerate much faster than the car.
In fact, the drag racer's acceleration is so high that it can reach a speed of 400 km/hr in just 5 seconds, while the car takes 10 seconds to reach a speed of 100 km/hr.
Step-by-step explanation:
Therefore, the acceleration of the car is 10 km/hr^2, and the acceleration of the drag racer is 80 km/hr^2. The drag racer's acceleration is much higher than the car's acceleration, which allows it to accelerate much faster and reach higher speeds.