Landing Ramp Distance Required for Stunt Car Launch

In summary, the stunt car is going 40 m/s when it is launched from a 10° ramp, and it will stay in the air for 0.7 seconds. It will land 27.573 meters away.
  • #1
Kotune
21
0

Homework Statement


A stunt car is driven from a 10° ramp at 40m/s. How far away should the landing ramp be. (It lands at the same level as it was launched from.)

Homework Equations


Answer is 54.7m

The Attempt at a Solution


v^2 = u^2 + 2as
(v^2 - u^2)/(2a) = s
(0 - 40^2) / (2 x 9.8) = -81.6
 
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  • #2
try splitting the original velocity into x and y components. Remember that gravity only affects the velocity component in the y direction.
 
  • #3
u r right. gravity will affect only vertical component. horizontal component remains same.
 
  • #4
SHISHKABOB said:
try splitting the original velocity into x and y components. Remember that gravity only affects the velocity component in the y direction.

I don't understand. What equations am I suppose to use?
 
  • #5
Well, if the velocity of the stunt car is 40 m/s at 10 degrees initially, then how would you find the x and y components of its velocity at that moment?
 
  • #6
SHISHKABOB said:
Well, if the velocity of the stunt car is 40 m/s at 10 degrees initially, then how would you find the x and y components of its velocity at that moment?

x = 40cos10 = 39.39
y = 40sin10 = 6.95

I get that part but I'm not sure how that helps me achieve the conclusion? ><
 
  • #7
Well so if the car flies off into the air, how do you find out how long it's going to stay in the air?
 
  • #8
Kotune said:
x = 40cos10 = 39.39
y = 40sin10 = 6.95

I get that part but I'm not sure how that helps me achieve the conclusion? ><

SHISHKABOB said:
Well so if the car flies off into the air, how do you find out how long it's going to stay in the air?

v = u + at?
0 = 6.95 +9.8t
-6.95 / 9.8 = t
0.7 = t
0.7s
 
  • #9
that's what I got. So now you know how long the car is in the air and how fast it is going in the x direction, how would you find out how far away it lands?
 
  • #10
.7 x 39.39
= 27.573
Then do I multiply this number by 2?
 
  • #11
well, what do you think? ;)
 
  • #12
got it, cheers buddy!
 

FAQ: Landing Ramp Distance Required for Stunt Car Launch

What is the purpose of calculating the Landing Ramp Distance Required for Stunt Car Launch?

The purpose of calculating the Landing Ramp Distance Required for Stunt Car Launch is to ensure the safety and success of the stunt. It is important to determine the minimum distance the car needs to travel on the landing ramp in order to come to a complete stop without causing injury to the driver or damage to the car.

What factors affect the Landing Ramp Distance Required for Stunt Car Launch?

The factors that affect the Landing Ramp Distance Required for Stunt Car Launch include the speed of the car, the weight of the car, the angle of the ramp, and the type of surface the ramp is placed on. Other factors such as wind and weather conditions may also play a role in the calculation.

How is the Landing Ramp Distance Required for Stunt Car Launch calculated?

The Landing Ramp Distance Required for Stunt Car Launch is calculated using the formula: D = (V²sin²θ)/(2g), where D is the distance, V is the velocity of the car, θ is the angle of the ramp, and g is the acceleration due to gravity. This formula takes into account the speed and angle of the ramp to determine the minimum distance required for a safe stop.

Why is it important to consider the weight of the car when calculating the Landing Ramp Distance Required for Stunt Car Launch?

The weight of the car plays a significant role in determining the Landing Ramp Distance Required for Stunt Car Launch. A heavier car will require a longer distance to come to a complete stop compared to a lighter car. This is due to the increased momentum and force of a heavier car, which affects the amount of distance needed to slow down and stop safely on the landing ramp.

Are there any safety precautions to consider when calculating the Landing Ramp Distance Required for Stunt Car Launch?

Yes, there are several safety precautions that should be considered when calculating the Landing Ramp Distance Required for Stunt Car Launch. It is important to ensure the ramp is properly secured and stable to prevent any accidents or injuries. Additionally, the landing ramp should be made of a material that can withstand the weight and force of the car. It is also important to have a safety barrier in place to protect the driver in case of a failed stunt.

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