Solving for Time and Distance of a Rolling Ball

In summary, Chuck gives a ball a horizontal speed of 1.5 m/s, causing it to roll off a lab bench 1.2 m high. The question asks how long it will take for the ball to reach the floor, and how far it will land from a point directly below the edge of the bench. Equations for both horizontal and vertical motion need to be used, including √(2y/g) for finding time and V=x/t or x=vt for finding distance.
  • #1
kcc732
1
0

Homework Statement



Chuck gives a horizontal speed v to a ball that then rolls off a lab bench y meters high. How long a time will it take the ball to reach the floor? How far from a point on the floor directlyt below the edge of the bench will the ball land? Calculate how long and how far for v=1.5 m/s and a bench height of 1.2 m.


Homework Equations



Vx=d/t? only horizontal component of velocity is relevant, right?

The Attempt at a Solution


confused
 
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  • #2
The question definitely involves both horizontal and vertical motion.
Better write equations for the y part, too. Usually one for Vy and one for y suffice.
 
  • #3
hey kcc
aight so when ur doing projectile motion try using this equation to find t:
t = √(2y/g)
and now that u have t u can use the formula V=x/t to find x or arrange it so that its x=vt
:D et voila'
 

1. How do you calculate the time and distance of a rolling ball?

The time and distance of a rolling ball can be calculated using the formula d = 0.5gt^2, where d is the distance, g is the acceleration due to gravity (9.8 m/s^2), and t is the time.

2. What factors affect the time and distance of a rolling ball?

The time and distance of a rolling ball can be affected by several factors such as the initial velocity of the ball, the slope of the surface it is rolling on, and the presence of any external forces such as friction or air resistance.

3. Can the time and distance of a rolling ball be calculated for any surface?

Yes, the time and distance of a rolling ball can be calculated for any surface as long as the surface is flat and the ball is rolling without slipping. If there is friction or the surface is not flat, the calculation may be more complex and require additional factors to be considered.

4. What is the difference between rolling and sliding motion?

Rolling motion occurs when an object (such as a ball) rotates while moving along a surface, while sliding motion occurs when an object moves along a surface without any rotation. In rolling motion, the point of contact between the object and the surface is stationary, while in sliding motion, the point of contact is constantly changing.

5. Can you use the same formula to calculate the time and distance of a rolling ball on an incline?

No, the formula d = 0.5gt^2 can only be used to calculate the time and distance of a rolling ball on a flat surface. For an incline, the calculation would require considering the angle of the incline and the weight of the ball in addition to the other factors mentioned in question 2.

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