Physics Chapter on Velocity and Acceleration

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Questions and Answers

What is the velocity of a car that travels 183 miles North in 2.5 hours?

  • 74 mph
  • 75 mph
  • 72 mph
  • 73 mph (correct)

In 2.5 seconds at a constant speed of 30 m/s, Kim's car will travel 75 meters.

True (A)

What is Charlie’s velocity if he runs to the store 13.2 km away in 24 minutes?

33.0

The velocity of a car moving at a constant speed of 5 m/s north for 8 seconds is _____ m/s.

<p>5</p> Signup and view all the answers

If a ball accelerates at $3 ext{ m/s}^2$ starting from rest, what is its velocity after 6.4 seconds?

<p>19.2 m/s (C)</p> Signup and view all the answers

After 6.4 seconds, the position of a ball accelerating at $3 ext{ m/s}^2$ starting from rest is _____ meters.

<p>61.6</p> Signup and view all the answers

If Car A is traveling at 38.0 mph, what is the speed of Car C if Car A is faster than Car C?

<p>34.5 mph (B)</p> Signup and view all the answers

Match the following speeds with the vehicles:

<p>Car A = 76.2 mph Car B = 12.5 mph Car C = 38.0 mph Car D = 31.0 mph</p> Signup and view all the answers

Flashcards

Calculate the velocity of a car?

Velocity is the rate of change of position over time. It is calculated by dividing the displacement by the time taken. In this case, the car travels 183 miles in 2.5 hours, so its velocity is 183 miles / 2.5 hours = 73.2 miles per hour.

Calculate the distance traveled in a given time?

The car will travel a distance of 75 meters during the response time. This is calculated by multiplying the velocity by the time: distance = velocity x time = 30 m/s x 2.5 s = 75 m.

Calculate velocity using distance and time?

Charlie’s velocity is 33 km/hr. This can be calculated by using the formula velocity = distance / time. First, convert the time from minutes to hours: 24 minutes / 60 minutes/hour = 0.4 hours. Now we can calculate the velocity: 13.2 km / 0.4 hours = 33 km/hr.

What is the velocity of a car with constant velocity over time?

The velocity of the car remains constant at 5 m/s north, regardless of the time interval. Velocity is a vector quantity that includes both speed and direction. In this case, the car is moving at a constant speed of 5 m/s in a northerly direction.

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How does acceleration affect the position of a ball on a ramp?

Since the ball accelerates, its velocity will increase. This is indicated by the ball being in a further position for each time frame. The ball travels a greater distance in each time interval due to its increasing velocity. Since the ball is not accelerating, the ball is in a further position for each time frame. In this case, the ball travels twice as fast as the one that did not accelerate.

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Calculate the position of a moving ball?

The ball's position is calculated using the equation: position = initial position + initial velocitytime + 1/2accelerationtime^2. Since the ball starts from rest, the initial velocity is 0. After 6.4 seconds, the ball's position is: 0 + 06.4 + 1/236.4^2 = 61.44. Therefore the position is 61.44 meters.

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Rank cars in order of increasing speed?

Car A is moving the slowest and car D is moving the fastest. This is because the distance traveled by car D is greater than the distance traveled by car A in the same amount of time.

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Calculate the speed of a car?

The speed of car B is 142.4 mph. We can calculate the speed of car B by looking at its spacing between each image: car A travels 12 boxes in 4 images, which means its speed is 3 boxes/image. Car B travels 35 boxes in 4 images, which means its speed is 8.75 boxes/image. Since we know that car A's speed is 76.2 mph, and we know the ratio of speed for each box (3 boxes/image for car A = 76.2 mph), car B's speed can be calculated. Car B's speed = 8.75 boxes/image * (76.2 mph / 3 boxes/image) = 223.1 mph.

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Study Notes

Velocity Calculations

  • Car velocity: 183 miles / 2.5 hours = 73.2 mph (approximately 73 mph).
  • Car response time distance (Kim): 30 m/s * 2.5 s = 75 meters (approximately 75m).
  • Charlie's velocity: 13.2 km / (24 minutes / 60 minutes/hour) = 33 km/hr (approximately 33km/hr)
  • Car velocity (constant): 5 m/s * 8s = 40 m (approximately 40m)

Acceleration and Position

  • Ball acceleration: The ball is expected to fall lower on the graph compared to the other intervals, indicating it is accelerating downwards.

  • Velocity at timed intervals (assuming constant acceleration): Need specific time intervals to determine the velocity

  • Position at timed intervals (assuming constant acceleration): Need specific time intervals to determine the position

  • Position after 6.4 seconds: Need acceleration data to calculate the position.

  • Position after 6.4 seconds (example): If accelerating at 3m/s² from rest, then Position = 0.5 * acceleration * time² -> 0.5 * 3 m/s² * (6.4s)²= 61.44 m (approximately 61.4 m).

Car Speed Ranking and Calculations

  • Car speed ranking: Need details about the time intervals and distances from the strobe and camera images to rank.
  • Car B speed: Need data from car A and the relative positions from the strobe.
  • Car C speed: Need data from car A and the relative positions from the strobe.

Velocity vs. Time Graph Analysis

  • Motion description: Need a velocity vs time graph to determine the motion for each interval.

Types of Motion

  • Type of motion: Need details about the graphs to classify the motion types.

Cat Position Calculation

  • Cat position: Need graphs to determine where the green cat passes the pink cat.

Motion of Objects (Rolling Ball and Skateboarding)

  • Rolling ball motion: Smooth and continuous motion (assuming no significant air resistance)
  • Skateboarding motion: Similar to rolling ball, but potentially experiencing more friction.

Equation for ☺ Position

  • Equation: Needs the equation for average speed (average speed = distance / time) or the position = average speed X time used.
  • Equation: Displacement (or position) = average velocity * time

Modifying Equations

  • Verify statements: Need statements to verify if they are true or false.

Steps to Find ☺ Position

  • Steps: 1:Calculate average speed for each group. 2: Use the equation (position=average speed X Time) to find the position of the ☺ for each group. 3: Compare the two positions.

☺ Position Calculation

  • ☺ position: Need average speeds for both groups to calculate the final positions.

  • Final Calculation example: If skateboarding group travels at 1.2 m/s for 29.4 seconds and the ball group travels at 3.2 m/s for 11.4s , respectively. Then ,The skateboard position would be 1.2m/s * 29.4s = 35.28m. The rolling ball position would be 3.2 m/s * 11.4 s = 36.48 m. In conclusion, using the position = average speed * time equation to find the ☺, we have located it at 36.5 m. Note : answer was rounded (approximately 36m or 36.5m)

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