Inclined Plane and soccer ball

In summary, a question is posed about a soccer ball being released from a smooth incline. After 4.58 seconds, the ball travels 10.8 meters and reaches the bottom of the incline one second later. The question asks for the ball's acceleration, and prompts the use of a formula relating initial velocity, time, displacement, and acceleration.
  • #1
luckii
3
0
i think this is an easy question but i forgot how and the book doesn't want to tell me. can anyone tell me how to figure this out? thanks.

A soccer ball is released from the top of a smooth incline. After 4.58 s the ball travels 10.8 m. One second later it has reached the bottom of the incline.

(question 1)Assume the ball's acceleration is constant and determine its value ( m/s2).

(question 2)How long is the incline?
 
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  • #2
1)
what's the initial velocity?

how much time has elapsed?

what is the displacement of the ball?

That's three things you know. What formula relates these three things along with acceleration?
 
  • #3
thats the only information included in the question.
 
  • #4
luckii, if that didn't help you, try with
[tex]
s = \frac{1}{2} a t^2
[/tex]

then you should be fine with both questions...
good luck :)
 
  • #5
luckii said:
thats the only information included in the question.
Yes, and I'm trying to get you to notice that the question gives you initial velocity (zero), time (4.58 s) and displacement (10.8 m).
 

What is an inclined plane and how does it relate to a soccer ball?

An inclined plane is a simple machine that is a flat surface with one end higher than the other. It can be used to reduce the amount of force needed to move an object by increasing the distance over which the force is applied. In the case of a soccer ball, an inclined plane can be used to kick the ball further by providing a larger surface area for contact with the foot, thus increasing the distance the ball travels.

How does the angle of the inclined plane affect the movement of the soccer ball?

The angle of the inclined plane, also known as the incline angle, plays a significant role in the movement of the soccer ball. A steeper incline angle will result in a faster, more powerful kick, while a shallower incline angle will result in a slower, less powerful kick. This is because the steeper the angle, the greater the force of gravity acting on the ball, causing it to accelerate more quickly.

Can an inclined plane be used to curve a soccer ball?

Yes, an inclined plane can be used to curve a soccer ball. By kicking the ball at an angle that is not parallel to the ground, the ball will rotate and curve in the direction of the incline. This is due to the Magnus effect, where the spin of the ball creates a difference in air pressure on either side, causing the ball to curve in the direction of lower pressure.

How does friction affect the movement of a soccer ball on an inclined plane?

Friction can have a significant impact on the movement of a soccer ball on an inclined plane. The coefficient of friction between the ball and the surface of the incline will determine how much force is needed to move the ball. A higher coefficient of friction will result in a slower movement of the ball, while a lower coefficient of friction will result in a faster movement.

What other factors besides an inclined plane can affect the distance a soccer ball travels?

Besides an inclined plane, other factors that can affect the distance a soccer ball travels include the force and angle of the kick, air resistance, and the surface on which the ball is being kicked. Additionally, the weight and size of the ball, as well as the strength and technique of the player, can also impact the distance the ball travels.

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