Finding an equation for the speed of a ball

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In summary, the equation for calculating the speed of a ball is speed = distance / time. This equation takes into account the distance the ball has traveled and the time it took to travel that distance. To measure these variables, you can use tools like a ruler, measuring tape, stopwatch, or timer. The weight or mass of the ball can affect its speed, with heavier balls typically having a slower speed due to greater inertia. However, this equation can only be applied to objects moving in a straight line. When a ball is thrown at an angle, the equation for its speed is speed = distance / time x cos(angle). This can be useful in real-life situations such as calculating the speed of a baseball pitch or analyzing the impact of external
  • #1
goomstooms
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Homework Statement


A small ball rolls around a horizontal circle at height y inside the cone. Find an expression of the ball's speed in terms of a, h, y and g


Homework Equations


Newton's third law

The Attempt at a Solution


I am not sure how to approach this problem
 
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  • #2
goomstooms said:
Newton's third law

No, use Newton's second law …

force = mass times acceleration, plugging in the formula for centripetal acceleration :wink:
 

1. What is the equation for calculating the speed of a ball?

The equation for calculating the speed of a ball is speed = distance / time. This means that the speed of a ball can be determined by dividing the distance it has traveled by the time it took to travel that distance.

2. How do you measure the distance and time of a ball's travel?

The distance of a ball's travel can be measured using a ruler or measuring tape, while the time can be measured using a stopwatch or a timer. It is important to have precise measurements in order to accurately calculate the speed of the ball.

3. Does the weight or mass of the ball affect its speed?

Yes, the weight or mass of a ball can affect its speed. Heavier balls typically have more inertia and require more force to move, resulting in a slower speed compared to lighter balls. In order to calculate the speed of a ball accurately, it is important to consider its weight or mass.

4. Can you use the same equation to calculate the speed of a ball thrown at an angle?

No, the equation speed = distance / time is only applicable for objects moving in a straight line. When a ball is thrown at an angle, the equation for its speed is speed = distance / time x cos(angle). This takes into account the horizontal distance traveled by the ball, which is affected by the angle of the throw.

5. How can you use the equation for the speed of a ball in real-life situations?

The equation for the speed of a ball can be used in many different scenarios, such as calculating the speed of a baseball pitch, a golf ball putt, or the speed of a car or train. It can also be used to analyze the impact of air resistance or other external factors on the speed of a ball. This equation is a fundamental tool in understanding the motion of objects in our everyday lives.

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