Hang time, range, maximum height

In summary, the problem asks us to find the ball's hang time, range, and maximum height given that a player kicks a football with an initial velocity of 27.0 m/s, 60.0° above the horizontal and assuming negligible air resistance. The correct formulas for these values are: Range = (Initial Velocity * Sin(2*Angle)) / 9.8 and Height = (Initial Velocity * Sin(Angle))^2 / (2 * 9.8). It is important to use the correct trigonometric function and to consider the vertical component of the initial velocity in these calculations.
  • #1
itsmarasilly
24
0

Homework Statement


Find the ball's hang time, range, and maximum height.
A player kicks a football from ground level with an initial velocity of 27.0 m/s, 60.0° above the horizontal. Find the ball's hang time, range, and maximum height. Assume air resistance is negligible.


Homework Equations


Range = Initial Velocity ^ 2 /9.8
Height = (Initial Velocity)(Sin)^2/ (2)(9.8)


The Attempt at a Solution



I'm not sure if these equations are correct.
 
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  • #2
Hi itsmarasilly,

itsmarasilly said:

Homework Statement


Find the ball's hang time, range, and maximum height.
A player kicks a football from ground level with an initial velocity of 27.0 m/s, 60.0° above the horizontal. Find the ball's hang time, range, and maximum height. Assume air resistance is negligible.


Homework Equations


Range = Initial Velocity ^ 2 /9.8

This does not look right; it is missing a trig factor. Do you see what this formula needs to be?

Height = (Initial Velocity)(Sin)^2/ (2)(9.8)

This is not correct (although you might just have a typo in your equation). In particular, what is being squared here?
 
  • #3
the 60 degrees? would it be put in the calculator as sin(60^2) or sin(60)^2, does it make a difference?
 
  • #4
itsmarasilly said:
the 60 degrees? would it be put in the calculator as sin(60^2) or sin(60)^2, does it make a difference?

The vertical component of your velocity is 27 * Sin 60. That's what you square.
 

What is hang time?

Hang time refers to the amount of time an object stays in the air before it falls back to the ground. In sports, it is often used to describe the amount of time a player stays in the air during a jump.

How is hang time measured?

Hang time is typically measured in seconds. This can be determined by measuring the time it takes for an object to reach its maximum height and fall back to the ground.

What factors affect hang time?

The hang time of an object is affected by several factors, including the initial velocity, the angle of launch, air resistance, and gravity. A higher initial velocity and a lower angle of launch will result in a longer hang time.

What is range?

Range is the horizontal distance covered by an object in motion. In terms of hang time, it is the distance the object travels while it is in the air.

How is maximum height related to hang time?

Maximum height is the highest point an object reaches during its flight. It is directly related to hang time, as a longer hang time will result in a higher maximum height. This is because the object has more time to travel upward before falling back to the ground.

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