Question

Help w/ physics

1. A car travels from point A to point B which is 25 miles. Determine the average velocity, in meters/second, the car was travelling to reach its destination, point B, in 25 minutes.

2. Determine the average velocity and average speed for the following situation. A dog runs west for 35 meters then turns east for 45 meters stops then continues east for 65 meters. The time for the total trip is 85 seconds.

3. A car travels north on the highway for 75 kilometers then turns west for 25 kilometers then turns south for 75 kilometers determine the distance the car travelled and determine the displacement of the car.

Answer 1

Physics problem solutions

1 To determine the average velocity of the car, you will need to divide the distance traveled (in meters) by the time it took to travel that distance (in seconds).

First, you will need to convert the distance from miles to meters.

1 mile = 1609.344 meters

So 25 miles = 40,233.6 meters

Then, you will need to convert the time from minutes to seconds.

1 minute = 60 seconds

So 25 minutes = 1500 seconds

Average velocity = distance traveled / time = 40,233.6 meters / 1500 seconds = 26.822 m/s

2 To determine the average velocity and average speed, you will need to divide the distance traveled (in meters) by the time it took to travel that distance (in seconds).

Distance traveled: 35 meters + 45 meters + 65 meters = 145 meters

Average velocity = distance traveled / time = 145 meters / 85 seconds = 1.71 m/s

Average speed = total distance / total time = (35 + 45 + 65) / 85 = 2.71 m/s

3 To determine the distance the car travelled, you will need to add up the distance traveled in each direction.

Distance traveled = 75 km + 25 km + 75 km = 175 km

To determine the displacement of the car, you will need to find the straight-line distance and direction from the starting point to the ending point.

Displacement = sqrt(75km^2 + 75km^2) = sqrt(5625 + 5625) = sqrt(11250) = 105.8 km, this is the north-south distance,

It's important to notice that the displacement is a vector quantity that has a magnitude and direction, and displacement is not the same as distance.

Answer 2

To determine the average velocity in meters/second, we need to convert the distance from miles to meters and the time from minutes to seconds.

To convert miles to meters, we multiply by 1609.34.

To convert minutes to seconds, we multiply by 60.

So, distance = 25 miles * 1609.34 meters/mile = 40233.5 meters

time = 25 minutes * 60 seconds/minute = 1500 seconds

Average velocity = distance / time = 40233.5 meters / 1500 seconds = 26.856 meters/second

To determine the average velocity, we need to calculate the total distance traveled and divide it by the total time taken.

Distance = 35 meters + 45 meters + 65 meters = 145 meters

Time = 85 seconds

Average velocity = distance / time = 145 meters / 85 seconds = 1.71 meters/second

To determine the average speed, we just need to calculate the total distance traveled / total time taken.

Average speed = distance / time = 145 meters / 85 seconds = 1.71 meters/second

To determine the distance traveled, we need to add the distance traveled in each direction: 75 kilometers + 25 kilometers + 75 kilometers = 175 kilometers.

To determine the displacement, we need to calculate the final position of the car relative to its initial position. Displacement is a vector quantity, so it takes into account the direction of the motion. The car traveled north 75 kilometers, then west 25 kilometers, then south 75 kilometers. So, the final position of the car is 25 kilometers west of its initial position. Therefore, the displacement of the car is 25 kilometers west.