How Fast Were the Catapulted Boulders Initially?

In summary, the knight sitting on the castle wall during a siege observes that boulders catapulted from below with a vertical velocity of 9.2 m/s land on the top of the wall. With a height of 40 m above the catapult and a gravity of 9.8 m/s^2, the initial velocity of the boulders can be calculated using the equation vf2 = vi2 -2g(Δd), resulting in an answer of -10.4 m/s.
  • #1
Casey314stl
15
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Homework Statement



A knight sits on a castle wall during a siege.
To while away the time, he notes that boulders catapulted from below land on the top of
his wall with a vertical velocity of 9.2 m/s.
If he is 40 m above the catapult, what
is the initial velocity of the boulders? The
acceleration of gravity is 9.8 m/s^2

Answer in units of m/s

Homework Equations


Δd=v^2f-v^2i-2a

The Attempt at a Solution


-10.4
 
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  • #2
Casey314stl said:

Homework Statement



A knight sits on a castle wall during a siege.
To while away the time, he notes that boulders catapulted from below land on the top of
his wall with a vertical velocity of 9.2 m/s.
If he is 40 m above the catapult, what
is the initial velocity of the boulders? The
acceleration of gravity is 9.8 m/s^2

Answer in units of m/s

Homework Equations


Δd=v^2f-v^2i-2a

The Attempt at a Solution


-10.4
What equation is that ?

vf2 = vi2 -2g(Δd)
 

1. What is a catapult gravity problem?

A catapult gravity problem is a physics problem that involves calculating the trajectory and distance of a projectile launched from a catapult, taking into account the effects of gravity.

2. How does gravity affect a catapult?

Gravity affects a catapult by pulling the projectile towards the ground, causing it to follow a curved path. This means that the distance and trajectory of the projectile will be affected by the force of gravity.

3. What factors affect the distance and trajectory of a catapult?

The distance and trajectory of a catapult are affected by several factors, including the angle of launch, the force used to launch the projectile, the weight and shape of the projectile, and the force of gravity.

4. How do you calculate the distance and trajectory of a catapult launch?

To calculate the distance and trajectory of a catapult launch, you will need to use equations that take into account the angle of launch, the initial velocity, and the force of gravity. These equations can be found in most physics textbooks or online resources.

5. What are some real-world applications of catapult gravity problems?

Catapult gravity problems have practical applications in fields such as engineering, military strategy, and sports. Understanding the effects of gravity on a catapult launch can help in designing more accurate and efficient catapults, as well as in predicting the trajectory of projectiles in various scenarios.

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