A driver travels at an average speed of $68 \mathrm{MPH}$ for  $2.5$ hours. How far does she travel throughout this period?

A walker completes a  $2.4 \mathrm{~km}$ route in 30 minutes. What is the walker's average speed in  $\mathrm{km} / \mathrm{h}$ for this distance?

Suppose that the acceleration of a car increases with time. Could we use the relationship $v=v_0+a t$ in this situation? Explain.

A car accelerates uniformly for 5 seconds, then travels at constant velocity for 5 seconds before decelerating uniformly for 5 seconds. Create velocity versus time and acceleration versus time graphs for this situation.

A car starts from rest, accelerates uniformly for 5 seconds, travels at constant velocity for 5 seconds, and finally decelerates uniformly for 5 seconds. Sketch graphs of velocity versus time and acceleration versus time for this situation.

A common speed limit in Vancouver, British Columbia, is $80 \mathrm{~km} / \mathrm{hr}$. If you are going $55 \mathrm{MPH}$, are you speeding? Show by converting $55 \mathrm{MPH}$ to $\mathrm{km} / \mathrm{hr}$ using the conversion factors on the inside front cover.

A person claiming to have paranormal powers states that she can predict which card will come up next in a shuffled deck of cards simply by exercising her mental powers. Is this a testable claim? Explain it

A mile is $5280 \mathrm{ft}$ long. The sample exercise in example box $1.2$ shows that 1 foot is approximately $0.305 \mathrm{~m}$. How many meters are there in a mile? How many kilometers $(\mathrm{km})$ are there in a mile?

A mile is 5280 feet. There are 3 feet in a yard. How many yards in a mile?

A traveler covers a distance of 460 miles in a time of 8 hours. What is the average speed for this trip?A traveler covers a distance of 460 miles in a time of 8 hours. What is the average speed for this trip?

Does a car's speedometer show instantaneous speed, average speed, or velocity? Explain.

When stopped by police, a driver claims she was doing 80 mph. Is that an unequivocal statement? Would this be interpreted differently in the UK than in the US? Explain.

A automobile going straight ahead at a speed of  $10 \mathrm{~m} / \mathrm{s}$ accelerates at a rate of  $3.0 \mathrm{~m} / \mathrm{s}^2$  to a speed of $34 \mathrm{~m} / \mathrm{s}$. a.How long does it take for the car to accelerate at a speed of $34 \mathrm{~m} / \mathrm{s}$? b. How far did the car travel during this process? c. Calculate the distance travelled at 1-second intervals, then meticulously sketch a graph showing the motion's distance vs time.

See the example before, but this time assume that the acceleration is a negative $1 \mathrm{~m} / \mathrm{s}^2$; that is, the car is slowing down. Determine the ultimate velocity and distance travelled after 6 seconds using the same equations (and the same initial velocity of  $+10 \mathrm{~m} / \mathrm{s}$ ). The distance travelled from the region under the curve can then be calculated by graphing the velocity-versus-time graph.