Ball Kicked at Certain angle, how long it goes and takes to touch the ground

In summary, the conversation discusses a problem involving a soccer ball being kicked at an angle of 64° to the horizontal with an initial speed of 18 m/s, neglecting air resistance. The problem asks for the time the ball is in the air, the horizontal distance it travels, and the maximum height it reaches. The suggested solution is to find the initial horizontal and vertical velocities and to research projectile motion for further help.
  • #1
Paul36
2
0

Homework Statement


A soccer ball is kicked at an angle of 64° to the horizontal with an initial speed of 18 m/s. Assume for the moment that we can neglect air resistance.

Homework Equations


For how much time is the ball in the air?... Seconds
(b) How far does it go (horizontal distance along the field)?... Metres
(c) How high does it go?... Metres

The Attempt at a Solution


I don't know what formulas to use or how to go about this question. Some help please.
Thank you.
 
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  • #2
Begin by finding the initial horizontal and vertical velocities.
 
  • #3

1. What is the equation for calculating the distance a ball travels when kicked at a certain angle?

The equation for calculating the distance a ball travels at a certain angle is: d = (v2sin(2θ))/g, where d is the distance, v is the initial velocity, θ is the angle of the kick, and g is the acceleration due to gravity (9.8 m/s2).

2. How do you determine the time it takes for a ball to touch the ground after being kicked at a certain angle?

To determine the time it takes for a ball to touch the ground after being kicked at a certain angle, you can use the equation: t = (2v/g)sinθ, where t is the time, v is the initial velocity, and θ is the angle of the kick.

3. Does the initial velocity of the ball affect how far it travels when kicked at a certain angle?

Yes, the initial velocity of the ball does affect how far it travels when kicked at a certain angle. The higher the initial velocity, the farther the ball will travel before touching the ground.

4. How does the angle of the kick affect the distance and time of a ball's flight?

The angle of the kick directly affects both the distance and time of a ball's flight. A higher angle will result in a shorter distance but a longer time in the air, while a lower angle will result in a longer distance but a shorter time in the air.

5. Is the acceleration due to gravity constant in the equation for calculating the distance and time of a ball's flight?

Yes, the acceleration due to gravity is constant (9.8 m/s2) in the equation for calculating the distance and time of a ball's flight. This means that it will not change regardless of the angle or initial velocity of the kick.

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