At a constant speed, is the time to drive from Long Island to Albany, NY, proportional, or inversely proportional, to the speed? Explain. At 55 mph, it takes 3.5 hours to make the trip. Write a formula for the relationship and find how fast you would have to drive to get to Albany in 3 hours.

Manley's tractor is just as fast as Caledonia's. It takes Manley $1 \mathrm{~hr}$ more than it takes Caledonia to drive to town. If Manley is $20 \mathrm{~mi}$ from town and Caledonia is $15 \mathrm{~mi}$ from town, how long does it take Caledonia to drive to town?

In the 1930s, some trucks used a chain to transmit power from the engine to the wheels. Suppose the drive sprocket had diameter 6 in., the wheel sprocket had diameter 20 in., and the drive sprocket rotated at 300 rev/min.

Find the linear velocity of the wheel sprocket in inches per minute.

A car moving at 10 m/s crashes into a tree and stops in 0.26 s. Calculate the force the seat belt exerts on a passenger in the car to bring him to a halt. The mass of the passenger is 70 kg.

Something that you probably can't do if you are incarcerated a. sleep b. drive c. eat d. talk

You drive $100$ miles. Over the first $50$ miles you drive $50 \mathrm{mph}$, and over the second $50$ miles you drive $V$ mph.

(a) Calculate the time spent on the first $50$ miles and on the second $50$ miles.

(b) Calculate the average speed for the entire $100$ mile journey.

(c) If you want to average $75 \mathrm{mph}$ for the entire journey, what is $V$?

(d) If you want to average $100 \mathrm{mph}$ for the entire journey, what is $V$?

Explain why friction is necessary to drive a car on a road. How could you increase friction on an icy road?

For the standard $3 \mathrm{~V}$ belt length that would be applied to two sheaves with pitch diameters of $5.25\ \text{in}$ and $13.95\ \text{in}$ with a center distance of no more than $24.0\ \mathrm{in}$, compute the angle of wrap on both of the sheaves.

The pulley shown has radius 12.96 centimeters. Suppose that it takes 18 seconds for 56 centimeters of belt to go around the pulley.

Approximate the angular speed of the pulley in radians per second to the nearest hundredth.

Jesse and Joaquin can drive to their grandparents' home in 3 hours if they average 50 miles per hour. Since the road between the homes is winding and mountainous, their parents prefer they average between 40 and 45 miles per hour. How long will it take to drive to the grandparents' home at the reduced speed?

Find the distance if Mr. Nichols had been able to drive straight from the entrance to his campsite.

Consider the car with the air drag force in earlier problem. How fast can it drive using $30\ \mathrm{hp}$ ?

Jack drove 325 miles in 5hours.

How many miles per hour did jack drive?

When appropriate, round answers to the nearest hundredth. A family is planning to drive 403 miles from their home in Richmond, Virginia, to the Great Smoky Mountain s National Park. If they drive at an average speed of 62 miles per hour, how long will their trip take? Use the formula d=rt.