Kinematic Quantities Problems
- Distance from Home to Job (One Way): Let’s assume the distance is 20 miles and the time taken is 30 minutes.
a) Average Speed = Total Distance / Total Time = 20 miles / 0.5 hours = 40 mph b) Average Velocity = Displacement / Total Time = 20 miles / 0.5 hours = 40 mph c) Were you driving at this velocity all the time? If the speed was constant, then yes.
- Round Trip from Home to Job and Back: Let’s assume the distance is 20 miles one way, and the time taken for the round trip is 1 hour.
a) Total Distance = 20 miles + 20 miles = 40 miles b) Displacement = 0 miles (since you returned to the starting point) c) Average Speed = Total Distance / Total Time = 40 miles / 1 hour = 40 mph d) Average Velocity = Displacement / Total Time = 0 miles / 1 hour = 0 mph (since displacement is zero)
- Approaching a Traffic Light: Let’s assume your velocity when approaching a traffic light is 30 mph, and it takes 10 seconds to stop.
Average Acceleration = Change in Velocity / Time Taken Change in Velocity = 30 mph – 0 mph = 30 mph Time Taken = 10 seconds
Average Acceleration = 30 mph / (10 seconds) = 3 mph/s
- Miami to Orlando Trip: The distance between Miami and Orlando is approximately 230 miles.
If you set the cruise control at 70 mph: Time = Distance / Speed = 230 miles / 70 mph ≈ 3.29 hours
So, it would take around 3.29 hours to get from Miami to Orlando at a constant speed of 70 mph. Please note that these calculations are based on the assumptions provided, and actual values might differ.
QUESTION
Description
Using your car dashboard (odometer for the distance and speedometer for the velocity)
- Measure the distance from home to your job and the time required for this trip.
a) Calculate your average speed.
b) Calculate your average velocity
- c) Were you driving at this velocity all the time?
Measure the distance and time when you travel from home to your job and come back home.
Determine:
a) Distance.
b) Displacement.
- c) Average speed.
d) Average velocity.
Record the velocity that you have when you approach a traffic light (with the speedometer) and the time to stop in the red light.
Calculate the average acceleration.
Look for the distance between Miami and Orlando. This is a long trip, if you set the Cruise control at 70 mi/h, how long would it take to get to Orlando?
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