Calculus

# Average Velocity

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

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

A car leaves point $A$ at $8 \text{am}$ and arrives at point $B$ at $3 \text{pm}$ on the same day. If the car travels a total distance of $623$ miles, then what is its average speed (in miles/hour)?

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

If a person takes the detour and reaches the end point in $23$ seconds, what is the average velocity of the person?

A runner completes a $126$ meter lap in $13$ seconds. What is average speed of the runner during this lap (in meters/second)?

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