AP Calculus Related Rates Problem

[7Lambo7]

I made this problem up for an assignment, but I have no idea how to solve it. Please help me!

At the end of the day, Ferris, Cameron, Sloane retrieve Cameron’s dad’s Ferrari, but discover on the way back that hundreds of miles have been added to the odometer, sending Cameron into a panic attack fearing his father's reaction. After calming Cameron down, Ferris comes up with a plan to run the car in reverse at Cameron's father's hillside garage, which is 70 feet high and perpendicular the ground, hoping to reverse the odometer. When they realize this is not working, Cameron unleashes his anger against his father, kicking the front of the Ferrari. Cameron calms down and rests himself against the car, and it hits the floor, races in reverse and crashes through the glass wall behind the car. The car landed 132 feet down the hill behind the garage.

A) If the car’s rate is decreasing at a constant 5.81 feet per second, how far will the car travel from the garage at 2.11 seconds?

B) At what rate is the angle, formed by the horizontal of the garage floor and the location the car lands, increasing at 3.81 seconds?

 

[Deleted member 4993]

I made this problem up for an assignment, but I have no idea how to solve it. Please help me!

At the end of the day, Ferris, Cameron, Sloane retrieve Cameron’s dad’s Ferrari, but discover on the way back that hundreds of miles have been added to the odometer, sending Cameron into a panic attack fearing his father's reaction. After calming Cameron down, Ferris comes up with a plan to run the car in reverse at Cameron's father's hillside garage, which is 70 feet high and perpendicular the ground, hoping to reverse the odometer. When they realize this is not working, Cameron unleashes his anger against his father, kicking the front of the Ferrari. Cameron calms down and rests himself against the car, and it hits the floor, races in reverse and crashes through the glass wall behind the car. The car landed 132 feet down the hill (???)behind the garage.

A) If the car’s rate ???is decreasing at a constant 5.81 feet per second, how far will the car travel from the garage at 2.11 seconds?

B) At what rate is the angle, formed by the horizontal of the garage floor and the location the car lands, increasing at 3.81 seconds?

You made up a nonsensical problem.

 

[7Lambo7]

Does this help?


At the end of the day, Ferris, Cameron, Sloane retrieve Cameron’s dad’s Ferrari, but discover on the way back that hundreds of miles have been added to the odometer, sending Cameron into a panic attack fearing his father's reaction. After calming Cameron down, Ferris comes up with a plan to run the car in reverse at Cameron's father's hillside garage, which is 70 feet high and perpendicular the ground, hoping to reverse the odometer. When they realize this is not working, Cameron unleashes his anger against his father, kicking the front of the Ferrari. Cameron calms down and rests himself against the car, and it hits the floor at 45 mph, races in reverse and crashes through the glass wall behind the car. The car landed 132 feet down the hill behind the garage.

A) How far will the car travel from the garage at 1.21 seconds?

B) At what rate is the angle, formed by the horizontal of the garage floor and the location the car lands, increasing at 1.54 seconds?

 

[mmm4444bot]

I think that some required information is still missing.

Why is Cameron angry at his father?

 

[BigGlenntheHeavy]

\(\displaystyle I \ remember \ this \ movie. \ Ferris \ was \ the \ instigator \ and \ always \ gets \ the \ girl \ while \ Cameron \ gets\)

\(\displaystyle the \ shaft.\)

 

[galactus]

At the end of the day, Ferris, Cameron, Sloane retrieve Cameron’s dad’s Ferrari, but discover on the way back that hundreds of miles have been added to the odometer, sending Cameron into a panic attack fearing his father's reaction. After calming Cameron down, Ferris comes up with a plan to run the car in reverse at Cameron's father's hillside garage, which is 70 feet high and perpendicular the ground, hoping to reverse the odometer. When they realize this is not working, Cameron unleashes his anger against his father, kicking the front of the Ferrari. Cameron calms down and rests himself against the car, and it hits the floor at 45 mph, races in reverse and crashes through the glass wall behind the car. The car landed 132 feet down the hill behind the garage.

Isn't this a scene from "Ferris Bueller's day Off"?.

A) How far will the car travel from the garage at 1.21 seconds?

At 45mph, the car is traveling 66 feet per second. 66*1.21 = 79.86 feet

B) At what rate is the angle, formed by the horizontal of the garage floor and the location the car lands, increasing at 1.54 seconds?

According to the problem, the car lands 132 feet down the hill. The height of the garage( a constant 70 feet high )and where the car lands are constant. Therefore, the angle does not change.

How about rewording it and adding some information. Like so:

For simplicty sake, Ferris's dad's garage is on level ground and 70 feet from the end of his driveway.

Let's say Ferris puts his dads car on a hydraulic lift so that he can run it in reverse and run the speedometer backwards.

The lift is rising at 1/2 feet per second. When it is 4 feet up in the air, how fast is the angle of elevation between the car and the end of the driveway changing at that instant?.