# Projectile Motion + Kinematics Clown Problem

• Cameron1919
In summary, the problem involves a clown being shot off a cliff at an angle and speed, while his friends in a clown car start accelerating from rest one second after he is fired. The question is to determine the acceleration of the car in terms of the other variables, given that they catch their friend. To approach this problem, one should choose a definition of t=0 and consider the position of the car at time t, assuming it accelerates at a rate of a.
Cameron1919

## Homework Statement

"a clown is shot of a cliff of height H at an angle theta and speed v. At the base of the cliff his friends are in a clown car. They start accelerating from rest one second after he is shot from the cannon. Assuming their car has constant acceleration, what is the acceleration in terms of the other variables if they catch their friend?"2. Homework Equations [/B]
How should I go about approaching this problem, knowing that the time is going to be altered in order to incorporate the total distance?

## The Attempt at a Solution

http://imgur.com/69iqAif

Cameron1919 said:

## Homework Statement

"a clown is shot of a cliff of height H at an angle theta and speed v. At the base of the cliff his friends are in a clown car. They start accelerating from rest one second after he is shot from the cannon. Assuming their car has constant acceleration, what is the acceleration in terms of the other variables if they catch their friend?"2. Homework Equations [/B]
How should I go about approaching this problem, knowing that the time is going to be altered in order to incorporate the total distance?

## The Attempt at a Solution

http://imgur.com/69iqAif
Please do not post working as images. Almost always hard to read, and impossible to point to specific lines to make comments.

Choose a definition of t=0. If you take it as the time the clown is fired, and the car accelerates at rate a, what is the position of the car at time t? (It only has to be correct for t>1.)

## 1. What is projectile motion?

Projectile motion is the motion of an object that is launched or thrown into the air, moving in a curved path due to the influence of gravity. This type of motion can be described using the principles of kinematics, which involves the study of motion without considering the forces acting on the object.

## 2. How does the clown problem relate to projectile motion?

The clown problem is a classic physics problem that involves a clown being shot out of a cannon at an angle from the ground. This problem demonstrates the concepts of projectile motion, as the clown's motion is influenced by gravity and follows a curved path.

## 3. What are the key factors that affect projectile motion?

The key factors that affect projectile motion are the initial velocity, launch angle, air resistance, and the acceleration due to gravity. These factors determine the shape and distance of the projectile's path.

## 4. How can we calculate the maximum height and range of a projectile?

The maximum height and range of a projectile can be calculated using the equations of motion, such as the equations for displacement, velocity, and acceleration. By plugging in the initial conditions and using the appropriate equations, we can determine the maximum height and range of the projectile.

## 5. How does the angle of projection affect the motion of a projectile?

The angle of projection, or launch angle, is a key factor in determining the shape and distance of a projectile's path. A higher launch angle will result in a longer range, while a lower launch angle will result in a shorter range but a higher maximum height. The optimal angle for maximum range is 45 degrees.

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