Calculus

Displacement, Velocity, Acceleration

Average Velocity

         

Point PP departs from the origin (0,0) (0,0) at time t=0t=0 and travels in a straight line to (3t,4t)(3t, 4t) at time tt. What is the average speed of P?P?

A car travels from city AA to city BB with a speed of 19 miles/h19 \text{ miles/h} and back from city BB to city AA with a speed of 3 miles/h.3 \text{ miles/h}. What is the average speed of the car (in miles/h) during this round trip?

A car leaves point AA at 8am8 \text{am} and arrives at point BB at 3pm3 \text{pm} on the same day. If the car travels a total distance of 623623 miles, then what is its average speed (in miles/hour)?

The diagram below shows a detour (first 8 m8\text{ m} north, then 18 m18\text{ m} southeast) from a starting point to an end point. The diagram also shows the shortest distance 12 m12 \text{ m} between the starting and end points.

If a person takes the detour and reaches the end point in 2323 seconds, what is the average velocity of the person?

A runner completes a 126126 meter lap in 1313 seconds. What is average speed of the runner during this lap (in meters/second)?

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