Launching Projectiles: Calculating Initial Velocities, Distances, & Paths

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In summary, an object is launched from the ground with an initial velocity (vo) at an angle (theta) with the ground, disregarding air resistance. We need to find the initial horizontal velocity and vertical velocity in part a, the horizontal distance and vertical distance in time t in part b, and write an equation for the path of the object in part c. In part d, we need to find the equation that predicts the range of the object's motion. These problems involve trigonometry and using given formulas to solve for the different components of the object's motion.
  • #1
clh7871
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an object is launched from the ground with an initial velocity (vo) at an angle (theta) with the ground. disregard air resistance

a. what is the initial horizontal velocity of the object? the initial vertical velocity?

b. what is the horizontal distance the object moves in time t? the vertical distance in time t?

c. write an equation for the path of the object.

d. find the equation which predicts the range equation
 
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  • #2
What have you done on these. They look like simple applications of trigonometry and formula you have been given.
 
  • #3
i remember doing these probs :smile: ... u need to resolve Vo into vertical and horizontal components for part a. (...but I'm not tellin :rolleyes: )...

b. is x=vt -----> x=(horizontal component u get from part a)(t) and the same with vert. comp.

c and d.think about what its motion looks like.
 

1) What is a projectile?

A projectile is an object that is launched or thrown into the air and is subject to the force of gravity. Examples of projectiles include a baseball thrown by a pitcher, a bullet shot from a gun, or a rocket launched into space.

2) How do you calculate the initial velocity of a projectile?

The initial velocity of a projectile can be calculated using the equation: V0 = V*sin(θ), where V is the initial speed or magnitude of the launch velocity and θ is the launch angle. This equation takes into account the horizontal and vertical components of the velocity.

3) What factors affect the distance a projectile travels?

The distance a projectile travels is affected by the initial velocity, launch angle, and the force of gravity. Air resistance and wind can also have an impact on the distance traveled.

4) How can you determine the path of a projectile?

The path of a projectile can be determined by plotting its position at different points in time. This can be done by using equations that take into account the initial velocity, launch angle, and acceleration due to gravity. Graphing the position vs. time can also help visualize the path of a projectile.

5) Can you apply the principles of projectile motion to real-life situations?

Yes, the principles of projectile motion are used in various fields such as physics, engineering, and sports. For example, in sports like baseball or golf, players use the principles of projectile motion to determine the initial velocity and launch angle needed to achieve the desired distance and trajectory for their shot. In engineering, projectile motion is used to calculate the trajectories of rockets and missiles.

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