How can I calculate the distance a car will travel after driving off a cliff?

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Homework Help Overview

The discussion revolves around calculating the distance a car travels after driving off a cliff, given its mass and initial speed. The problem involves concepts from kinematics and dynamics, particularly focusing on projectile motion and gravitational effects.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore the relevance of the cliff's height and question the significance of the airborne time provided. There are discussions about the calculations involving forces and acceleration, with some participants suggesting that certain steps may not be necessary without considering air resistance.

Discussion Status

The conversation is ongoing, with participants raising questions about the assumptions made in the problem and the interpretation of the given data. Some guidance has been offered regarding the calculation of distance based on horizontal velocity and time, but no consensus has been reached on the correct approach.

Contextual Notes

There is a noted lack of clarity regarding the height of the cliff and how it impacts the airborne time of the car. Participants are also considering the implications of ignoring air resistance in their calculations.

antphany
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Homework Statement


A 500kg car drives off a cliff at 50km/h how far would it land from the base of the cliff if it was in the air for 10 seconds


Homework Equations



F=ma
F=mg
d=1/d at^2

The Attempt at a Solution



i first did f=mg to find f
then i did f=ma converted that to find a
then did 1/2 at^2 converted that 2
d x 0.5 / 9.8 then i root it to find t
but i got the wrong answer, the answer is 9 seconds can some one tell me what i did wrong
 
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I would think the the height of the cliff is a relevant variable, and that the 10 sec. airborne time of the car is at best irrelevant and at worst intentionally confusing. For sake of argument, if the car went off say, a 10,000 foot sheer drop it would spend more than ten seconds in the air...if the "cliff" was little more than an embankment then the car would probably spend less then 10 seconds in the air...both scenarios would render the question moot. The real question that should be asked, the way I see it is like this, "If a 500kg car goes of a cliff at 50 km and is airborne for ten seconds THEN how high was the cliff it went off?"

I am a layman, a noob, but physics enthusiast...but that's how I see it.
 
antphany said:
but i got the wrong answer, the answer is 9 seconds can some one tell me what i did wrong
How can 'the answer' be 9 seconds? You were told that it was in the air for 10 seconds.

What you are asked to find is how far from the cliff it landed.
 
assuming no loss for friction

horizontal velocity = 50km/h

time = 10 secs

distance = vel*time
 
antphany said:
i first did f=mg to find f
then i did f=ma converted that to find a
This step is a waste of time, unless you are going to factor in an air resistance force. g describes the accerleration, so there is no need to turn it into a force and back again.
 

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