There are three main factors that affect the trajectory of an object or body in flight: the projection angle, magnitude of projection velocity and height of projection.
Table of Contents
How do you solve trajectory problems in physics?
How do you solve projectile motion problems in physics?
What are the four 4 factors that affect the flight path of a projectile?
Factors affecting the flight path of a Projectile are: Gravity. Air Resistance. Speed of Release. Angle of Release.
What is the formula for trajectory?
Trajectory formula y = h + Vแตง ร t – g ร tยฒ / 2 .
How many hours would it take a human to calculate a trajectory?
A skilled person with a desk calculator could compute a 60-second trajectory in about 20 hours.
What two forces affect projectile motion?
projectile motion, the motion of a falling object (projectile) after it is given an initial forward velocity. Air resistance and gravity are the only forces acting on a projectile. The combination of an initial forward velocity and the downward vertical force of gravity causes the ball to follow a curved path.
What factors affect distance of a projectile?
The amount and direction of spin acting on a projectile will directly affect the distance a projectile will travel. The reason for this is the air pressure acting on the ball. Example: In a tennis shot, topspin gives poorer distance compared to backspin.
How does angle affect trajectory?
Higher launch angles have higher maximum height The maximum height is determined by the initial vertical velocity. Since steeper launch angles have a larger vertical velocity component, increasing the launch angle increases the maximum height.
What is a trajectory in physics?
A trajectory is a path taken up by a moving object that is following through space as a function of time. Mathematically, a trajectory is described as a position of an object over a particular time.
How do you solve projectile motion problems without angles?
What is the formula for projectile motion?
The equation for the distance traveled by a projectile being affected by gravity is sin(2ฮธ)v2/g, where ฮธ is the angle, v is the initial velocity and g is acceleration due to gravity. Assuming that v2/g is constant, the greatest distance will be when sin(2ฮธ) is at its maximum, which is when 2ฮธ = 90 degrees.
Why mass does not affect projectile?
When writing equations of motion for a dropped object, mass is in the equations in 2 places and they cancel out. That is basically the reason that mass does not affect the results of analysis of a projectile.
What does projectile motion depend on?
It depends on the initial velocity of the projectile and the angle of projection. The maximum height of the projectile is when the projectile reaches zero vertical velocity.
How does air resistance affect the path of a projectile?
Objects moving through air are slowed down due to air resistance, sometimes called drag. This air resistance affects a spacecraft when it re-enters the Earth’s atmosphere but also the path of a projectile such as a bullet or a ball.
Is trajectory a position or velocity?
A projectile is an object that is given an initial velocity, and is acted on by gravity. The path the object follows is called its trajectory. The trajectory has horizontal (x) and vertical (y) position components.
What is the difference between projectile motion and trajectory?
Motion – The change of state at any instant in time of a body (or bodies). Trajectory – The state of a body or bodies over a period of time.
What is the highest point of a trajectory called?
The highest point in any trajectory, called the apex, is reached when v y = 0 .
Why does the trajectory always show a curve pattern?
Students have long been taught that all projectiles follow a curved path known as a parabola. The explanation is that as they fly, they cover distance both horizontally and vertically โ but only the latter is affected by the force of gravity, which bends the path of the projectile into a parabola.
Can trajectories cross?
Note that trajectories can never cross, because the solution starting from any point in the plane is uniquely determined: so there cannot be two such solution curves starting at any given point.
How long does it take a projectile to reach its maximum height?
Determine the time it takes for the projectile to reach its maximum height. Use the formula (0 – V) / -32.2 ft/s^2 = T where V is the initial vertical velocity found in step 2. In this formula, 0 represents the vertical velocity of the projectile at its peak and -32.2 ft/s^2 represents the acceleration due to gravity.
Which factor is most important in projectile motion?
The most important factors affecting projectile motion are: The angle of the launch: The angle at which the object is thrown determines how high (vertically) or how far (horizontally) the object will reach. Initial speed: Greater the initial speed of launch, the higher and farther will the object reach.
Does mass affect projectile motion?
Mass does not affect the speed of falling objects, assuming there is only gravity acting on it. Both bullets will strike the ground at the same time. The horizontal force applied does not affect the downward motion of the bullets — only gravity and friction (air resistance), which is the same for both bullets.
Which of the following factors does not affect the motion of a projectile?
However, the presence of gravity does not affect the horizontal motion of the projectile.
What two factors affect range?
- Weight.
- Gear-shifting behaviour.
- Type of sensor.
- Type of read surface.
- The weather.