What Is the Takeoff Angle for a 7.5m Long Jump?

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In summary, a long jumper with a height of 2m jumps 7.5m horizontally and falls 0.95m vertically during his long jump. From this information, we can calculate his horizontal and vertical velocities at take off and determine the angle at which he projects himself. However, more information is needed to accurately calculate these values, such as whether he successfully completed the long jump or not.
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Nubcake
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A long jumper projects himself at an angle for take off . His long jump measures 7.5m and he is recorded as being in the air for 0.80 s. He falls through a distance of 0.95m between his take off position (when he is standing) and his landing position (when he is lying down)

a) Calculate his horizontal and vertical velocities at take off
b) Hence calculate the angle at which he projects himself at take off



t=0.8
a=-9.8 (up is positive)


I do not have a solid understanding of the question , has he fulfilled his long jump or not? Did he jump 7.5m total and jumped up to 0.95m before coming back down or did he fall as it says so his displacement is 0.95m and 7.5m is what then?

Tried drawing it out but couldn't make nothing from it.
 
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Hi Nubcake! :smile:
Nubcake said:
Did he jump 7.5m total and jumped up to 0.95m before coming back down or did he fall as it says so his displacement is 0.95m and 7.5m is what then?

He's just under 2m tall.

His centre of mass is 0.95m off the ground when he's standing (or running), and is 0.00m off the ground when he's lying down. :wink:
 

What is a projectile problem?

A projectile problem is a type of physics problem that involves calculating the trajectory and/or motion of an object that is launched or thrown into the air, such as a ball or a bullet. It typically involves using principles of kinematics, such as projectile motion equations, to determine the object's position, velocity, and acceleration at different points in time.

What are the key components of a projectile problem?

The key components of a projectile problem include the initial velocity of the object, the angle at which it is launched, the acceleration due to gravity, and the object's position and velocity at different points in time. It is also important to consider any external factors that may affect the object's motion, such as air resistance or wind.

How do I solve a projectile problem?

To solve a projectile problem, you need to first identify the known and unknown variables and determine which equations or principles of physics are applicable. Then, you can use these equations to set up and solve a system of equations to find the desired solution. It is also helpful to draw a diagram and label all the relevant information.

What are some common mistakes when solving projectile problems?

Some common mistakes when solving projectile problems include forgetting to use the correct units, neglecting air resistance or other external factors, and not considering the direction of the object's motion. It is also important to pay attention to the signs of your variables and equations, as well as using the correct formulas for different scenarios (e.g. horizontal vs. angled launch).

How can I check if my solution is correct?

You can check your solution by plugging your values back into the original equations and ensuring that they satisfy all the given conditions. You can also use kinematics graphs or online calculators to validate your answer. It is always a good idea to double-check your work and make sure your final answer is reasonable and makes sense in the context of the problem.

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