Finding height given velocities

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In summary, a daredevil on a motorcycle leaves a ramp at 39.0 m/s and reaches a peak speed of 36.7 m/s. The maximum height he reaches can be determined using the conservation of energy equation, KEi+PEi=KEf+PEf, with a reference point of the bike exiting the ramp. Friction and air resistance are ignored in this scenario.
  • #1
mandy9008
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Homework Statement


A daredevil on a motorcycle leaves the end of a ramp with a speed of 39.0 m/s as in the figure below. If his speed is 36.7 m/s when he reaches the peak of the path, what is the maximum height in meters that he reaches? Ignore friction and air resistance.
p5-23alt.gif



Homework Equations





The Attempt at a Solution


I don't even know where to begin
 
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  • #2
When the daredevil reaches the top, his velocity is in the vertical direction is zero... This means he can't go further up. Gravity will pull him down. Now, I suppose you can find the maximum height he reaches.
 
  • #3
Think about conservation of energy, KEi+PEi=KEf+PEf. You should take your reference as the bike exits the ramp. I hope this is clear.
 

Related to Finding height given velocities

1. How do you find the height given velocities?

To find the height given velocities, you can use the formula h = v2 / (2g), where h is the height, v is the initial velocity, and g is the acceleration due to gravity.

2. What is the unit of measurement for height and velocity?

The unit of measurement for height is typically meters (m) or feet (ft), while the unit for velocity is usually meters per second (m/s) or feet per second (ft/s).

3. What information do you need to calculate the height?

To calculate the height given velocities, you need to know the initial velocity and the acceleration due to gravity. These values can be obtained from the initial conditions of the object's motion.

4. Can this formula be used for any type of motion?

No, this formula is specifically for calculating the height of an object in free fall motion. It cannot be used for other types of motion, such as projectile motion.

5. What is the significance of finding the height given velocities?

Finding the height given velocities is important in many scientific fields, including physics and engineering. It allows us to understand and predict the motion of objects and can be applied in various real-world scenarios, such as calculating the maximum height of a roller coaster or the trajectory of a rocket.

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