Projectile Problem Help: Find Maximum Distance and Collision Point - g=10m/s2

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In summary, the first conversation discusses the maximum distance a gun on a ship can hit an object on the top of a 105m high cliff with a firing velocity of 110m/s. The second conversation involves two towers, AB and CD, positioned a distance 'd' apart, with an object of mass 'm' thrown from the top of AB horizontally with a velocity of 10m/s towards CD, and another object of mass '2m' thrown from the top of CD at an angle of 60 degrees below horizontal with the same initial velocity. The two objects collide in mid-air and stick together. The equations x=vtcos(\theta) and y=vtsin(\theta)-\frac{1}{2}
  • #1
kaushalyjain
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1. A ship is approaching a cliff of height 105m above sea level. gun fited on ship can fire shots with 110m/s. Find the maximum distance frm the foot of cliff from where the gun can hit an object on the top of cliff. g=10m/s2

2. 2towers AB and CD are situated a distance 'd' apart. AB is 20m high and CD is 30 m high frm ground. an object of mass 'm' is thrown from the top of AB horizontally with a velocity of 10m/s towards CD. Simultaneously another object of mass '2m' is thrown from top of CD at an angle 60degree below horizontal towards AB with the same magnitude of intial velocity as that of the first object. 2 objects move in the same vertical plane, collide in mid air and stick to each other.
i) find 'd'
ii) find position where the objects hit ground
 
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  • #2
1. Start with these equations:

[tex]x=vtcos(\theta)[/tex]
[tex]y=vtsin(\theta)-\frac{1}{2}gt^2[/tex]

You will need to eliminate [tex]t[/tex] between the two equations.
 
  • #3


The maximum distance that the gun on the ship can hit an object on the top of the cliff is determined by the projectile's horizontal velocity, initial height, and acceleration due to gravity. Using the formula for maximum horizontal distance, we can find that the maximum distance is approximately 243.9m from the foot of the cliff.

For the second problem, we can use the equations of motion to solve for the distance between the two towers, 'd'. By setting the equations for the two objects equal to each other and solving for 'd', we can find that the distance between the two towers is approximately 66.7m.

To find the position where the objects hit the ground, we can use the equations for vertical and horizontal motion to solve for the time at which the objects collide. Then, we can plug this time into the equation for vertical motion to find the height at which the objects collide. This will give us the position where the objects hit the ground.
 

1. What is a projectile problem?

A projectile problem is a type of physics problem that involves calculating the motion of an object that is launched into the air and moves under the influence of gravity. It typically involves finding the object's initial velocity, angle of launch, and path of motion.

2. How do I solve a projectile problem?

To solve a projectile problem, you will need to use equations from classical mechanics, such as the equations of motion and the kinematic equations. You will also need to consider factors such as gravity, air resistance, and the initial conditions of the object's launch.

3. What information do I need to solve a projectile problem?

To solve a projectile problem, you will need to know the object's initial velocity, angle of launch, and the forces acting on the object (such as gravity and air resistance). You may also need to know the object's mass and the conditions of the environment, such as air density.

4. Can I use a calculator to solve a projectile problem?

Yes, a calculator can be helpful in solving a projectile problem. However, it is important to understand the equations and concepts behind the problem in order to use the calculator effectively. Additionally, some projectile problems may require the use of more advanced calculators or computer programs.

5. What are some real-life applications of projectile problems?

Projectile problems have many real-life applications, such as calculating the trajectory of a ball in sports like baseball or golf, determining the path of a rocket or missile, and predicting the motion of objects in amusement park rides. They are also used in fields such as engineering, physics, and astronomy.

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