How Fast Must the Race Car Go in the Last 2 Laps to Qualify?

Solve for v.In summary, to qualify for a race, a race car driver must average 180 km/h for 4 laps. If the car only averages 150 km/h for the first 2 laps, the driver must maintain a speed of 210 km/h for the remaining 2 laps to meet the average requirement. This can be calculated by equating the total time for 4 laps at 180 km/h with the sum of the total times for 2 laps at 150 km/h and 2 laps at v km/h, and solving for v.
  • #1
katyross
5
0

Homework Statement


"A race car driver must average 180 km/h for 4 laps to qualify for a race. Because of engine trouble, the car averages only 150 km/h over the first 2 laps. What speed must be maintained for the last 2 laps?"


Homework Equations



v= d/t

The Attempt at a Solution


i actually have no idea where to start with this
 
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  • #2
Find total time for 4 laps with average velocity 180 km/h.
Find total time for 2 laps with average velocity 150 km/h.
Find total time for remaining 2 laps with average velocity v km/h.
Equate the first one with the sum of the other two.
 
  • #3
.

I understand that the race car driver's average speed must be equal to or greater than 180 km/h for a total of 4 laps in order to qualify for the race. Using the equation v=d/t, we can calculate the distance traveled for the first 2 laps by multiplying the average speed of 150 km/h by the time of 2 laps, which is equivalent to the total distance traveled. This gives us a distance of 300 km.

To qualify for the race, the total distance must be 4 laps, which is equivalent to 600 km. Therefore, in order to reach a total distance of 600 km, the remaining 2 laps must be traveled at a speed that will cover a distance of 300 km. This can be calculated by dividing 300 km by 2 laps, which gives us an average speed of 150 km/h for the remaining laps.

In conclusion, the race car driver must maintain an average speed of 150 km/h for the last 2 laps in order to qualify for the race. This can also be confirmed by dividing the total distance of 600 km by the total time of 4 laps, which gives us an average speed of 150 km/h.
 

1. What is one dimensional kinematics?

One dimensional kinematics is the study of motion in a straight line, without considering the factors that may affect the motion, such as forces or objects in the way.

2. What are the key concepts in one dimensional kinematics?

The key concepts in one dimensional kinematics include displacement, velocity, acceleration, and time. Displacement is the distance an object has traveled from its starting point. Velocity is the rate of change of displacement over time. Acceleration is the rate of change of velocity over time. Time is the duration of the motion.

3. How is one dimensional kinematics used in real-life situations?

One dimensional kinematics is used in many real-life situations, such as calculating the speed and distance of a moving car, predicting the trajectory of a projectile, and understanding the motion of objects in sports like baseball or football.

4. What is the difference between average and instantaneous velocity?

Average velocity is the total displacement over a given time interval, while instantaneous velocity is the velocity at a specific moment in time. Average velocity can be calculated by dividing the total displacement by the total time, while instantaneous velocity can be calculated by finding the slope of the position-time graph at a specific point.

5. How does acceleration affect an object's motion in one dimension?

Acceleration can either speed up or slow down an object's motion in one dimension. If an object has a positive acceleration, it is speeding up, while a negative acceleration will cause the object to slow down. The magnitude of the acceleration also affects the change in velocity over time, with a larger acceleration causing a greater change in velocity in a shorter amount of time.

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