Launching marble upwards - Find speed

In summary, the equation for calculating the speed of a marble launched upwards is v = √(2gh), where v is the speed, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the launch. To determine the height of the launch, you can use the equation h = v²/2g or measure it directly. The factors that affect the speed of a marble launched upwards include the height of the launch, the mass of the marble, and the force applied. Air resistance can also impact the speed by slowing it down. However, the speed cannot be greater than the initial launch speed, as it will gradually decrease due to gravity and air resistance.
  • #1
lachlan81
2
0
I cannot work out how to get this question answered.

Question:
A student launches a marble vertically upwards so that it reaches a maximum height of 40m above it's release height. Calculate:

a).The speed of the marble when it is launched.
b). The speed of the marble at the halfway point.:confused:
 
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  • #2
Try with conservation of energy. What sort of energy does the marble have the instant it is launched? How about the instant it reaches its maximum height?
 
  • #3
Ok, thanks for your help.:smile:
 

1. What is the equation for calculating the speed of a marble launched upwards?

The equation for calculating the speed of a marble launched upwards is v = √(2gh), where v is the speed, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the launch.

2. How do you determine the height of the launch for a marble launched upwards?

To determine the height of the launch for a marble launched upwards, you can use the equation h = v²/2g, where v is the speed and g is the acceleration due to gravity. You can also measure the height directly using a ruler or measuring tape.

3. What are the factors that affect the speed of a marble launched upwards?

The factors that affect the speed of a marble launched upwards include the height of the launch, the mass of the marble, and the force applied to launch the marble. Other external factors such as air resistance and friction can also affect the speed.

4. How does air resistance impact the speed of a marble launched upwards?

Air resistance, also known as drag, can reduce the speed of a marble launched upwards. As the marble moves through the air, it experiences a force in the opposite direction of its motion, which slows it down. The amount of air resistance depends on the shape and size of the marble, as well as the density and viscosity of the air.

5. Can the speed of a marble launched upwards be greater than its launch speed?

No, the speed of a marble launched upwards cannot be greater than its launch speed. The initial launch speed is the maximum speed that the marble can have, and as it moves upwards, it will gradually slow down due to the force of gravity and air resistance.

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