Cargo is tied with rope on the roof of a 4.5-foot-tall car. The car is traveling down a road at 42 mph and hits a concrete barrier. The rope snaps, allowing the cargo to propel forward. Use the equations $y=-16.1 t^{2}+4.75$ and $y=-0.0042 x^{2}+4.75$ where y represents height in feet, x represents horizontal distance in feet, and t represents time in seconds, to find the time it takes for the cargo to hit the ground and the horizontal distance it travels.

A minivan is traveling at 80.5 kilometers per hour. Cargo is strapped to the roof at a height of 1.75 meters. The car hits a concrete barrier, and the cargo is ejected from the roof. Use the following two equations to determine how long it takes for the cargo to hit the ground and how far it travels in the horizontal direction. Let y represent height in meters, x represent horizontal distance in meters, and t represent time in seconds.

$$\begin{array}{l} \text { Equation } 1: y=-4.9 t^{2}+1.75 \\ \text { Equation } 2: y=-0.0081 x^{2}+1.75 \end{array}$$

The measure of the middle ordinate of a yaw mark is 6 ft. The radius of the arc is 70 ft. What was the length of the chord used in this situation? Round the answer to the nearest tenth of a foot.

An accident reconstructionist takes measurements of the yaw marks at the scene of an accident. What is the radius of the curve if the middle ordinate measures 4.8 feet when using a chord with a length of 42 ft? Round your answer to the nearest tenth of a foot.

The following two-way table displays information about favorite sports cars that resulted from a survey given to all students at Shore High School.

$$\begin{array}{|l|c|c|c|c|} \hline & \text { Corvette (C) } & \text { Porsche (P) } & \text { Ferrari (F) } & \text { Total } \\ \hline \text { Boys (B) } & 90 & 60 & 120 & 270 \\ \hline \text { Girls (G) } & 110 & 141 & 79 & 330 \\ \hline \text { Total } & 200 & 201 & 199 & 600 \\ \hline \end{array}$$

What is the probability that a randomly selected student from this school prefers Corvettes, given that the student is a girl?

The following measurements from yaw marks left at the scene of an accident were taken by the authorities. Using a 31-ft length chord, the middle ordinate measured approximately 3 ft. The drag factor for the road surface is 1.02. Determine the minimum speed that the car was going when the skid occurred to the nearest tenth.

Edward is driving 52 mi/h on a one-lane road. He must make a quick stop because there is a stalled car ahead. About how many feet does the car travel from the time he switches pedals until the car has completely stopped?

Edward is driving 52 mi/h on a one-lane road. He must make a quick stop because there is a stalled car ahead. What is his approximate reaction distance?

The following measurements from yaw marks left at the scene of an accident were taken by the authorities. Using a 31-ft length chord, the middle ordinate measured approximately 3 ft. The drag factor for the road surface is 1.02. Determine the radius of the yaw mark to the nearest tenth of a foot.

Marielle was in an accident. She was traveling down a road at 36 mi/h when she slammed on her brakes. Her car left two skid marks that averaged 50 ft in length with a difference of 4 ft between them. Her brakes were operating at 80% efficiency at the time of the accident. What was the possible drag factor of this road surface?

Edward is driving 52 mi/h on a one-lane road. He must make a quick stop because there is a stalled car ahead. What is his approximate braking distance?

Five years ago, a certain make and model of a car now considered to be a classic had a selling price of $26,000. Examine this geometric sequence representing the yearly appreciation in the price of the car since then:$26,000 $31,200$37,400 $44,928$53,813 $64,696.32. If this continues the same way, what would you expect to pay for this classic car 5 years from now?

A car is traveling at 57 mi/h before it enters into a skid. The drag factor of the road surface is 1.1, and the braking efficiency is 100%. How long might the average skid mark be to the nearest tenth of a foot?

An accident reconstructionist takes measurements of the yaw marks at the scene of an accident. What is the radius of the curve if the middle ordlnate measures 5.3 feet when using a chord with a length of 39 feet? Round your answer to the nearest tenth of a foot.