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

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To calculate the distance a car will travel after driving off a cliff, the key factors are the horizontal velocity and the time in the air. Given a car traveling at 50 km/h for 10 seconds, the distance can be calculated using the formula distance = velocity × time. The height of the cliff is not provided, but it is implied that the airborne time is fixed at 10 seconds. The discussion highlights confusion over the relevance of the cliff height and the calculations involved, emphasizing that the acceleration due to gravity is already accounted for in the time of flight. The correct approach focuses solely on horizontal motion, disregarding unnecessary force calculations.
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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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