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How do you find the initial velocity of a projectile given the height of the launch site and distance from the base of the launch site to the projectile's landing spot?
The way to understand projectiles is to treat their speeds as two different speeds. Treat one speed as how fast the projectile moves up or down relative to the ground, and treat the other speed as how fast the object moves left to right. This is called splitting the velocity into components. Each component is independent of the other, meaning that no matter what happens to the x (the horizontal speed) component, the y (the vertical component) will be unaffected. To determine these components, you will need to know how long the object was in the air. Take the total x component and divide it by the time the object is in the air. That is the x component. Then take that and multiply it by the inverse cosine function of whatever angle the projectile was launched at. That will give you the inital velocity of the object. --An AP Physics Student Bored in Study Hall
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What is the horizontal distance traveled by a projectile?
The horizontal distance traveled by a projectile is determined by the initial velocity of the projectile, the angle at which it was launched, and the time of flight. It can be calculated using the equation: horizontal distance = (initial velocity * time * cosine of launch angle).
How do you determine the initial velocity in projectile motion?
To determine the initial velocity in projectile motion, you can use the equation v (x y) / t, where v is the initial velocity, x is the horizontal distance traveled, y is the vertical distance traveled, and t is the time taken.
What are the factors which determine the distance that a projectile will travel?
Factors that determine the distance a projectile will travel include the initial velocity of the projectile, the angle of projection, air resistance, gravity, and the mass and shape of the projectile. Higher initial velocity, lower air resistance, a shallow angle of projection, and a projectile with less mass and streamlined shape tend to result in longer distances.
How does initial velocity affect the projectile in motion?
It affects the entire speed of the projectile is going to travel at. Shooting it at a higher initial velocity may increase the airtime of the projectile depending on the angle it was fired at.
Which information is needed to find the time a projectile is in motion?
The object's initial distance above the ground The object's initial velocity
What minimum initial velocity must a projectile have to reach a target 90km away?
The minimum initial velocity required for a projectile to reach a target 90 km away depends on the angle at which the projectile is launched, as well as the effects of air resistance and other factors. A common approach is to use projectile motion equations to determine the initial velocity needed for the projectile to cover the horizontal distance of 90 km in the given conditions.
How can one determine the launch velocity of a projectile?
To determine the launch velocity of a projectile, you can use the projectile motion equations. By measuring the initial height, horizontal distance traveled, and the angle of launch, you can calculate the launch velocity using trigonometry and kinematic equations.
Does the initial velocity in a projectile is inversely proportional to the range?
No, the initial velocity of a projectile is not inversely proportional to the range. The range of a projectile is determined by a combination of its initial velocity, launch angle, and acceleration due to gravity. A higher initial velocity can lead to a longer range, but it's not a strict inverse relationship.
What is the horizontal displacement of a projectile?
it depends on the gravitational force of attraction of earth and air resistance. if we are neglecting air resistance, the max.horizontal distance is according to this formulae, V0/2 * sin (2theta) where V0 is the initial velocity theta is the angle with x axis and the projection.
How does projectile weight affect projectile distance?
The weight of a projectile can affect its distance due to the principle of projectile motion. Heavier projectiles have more inertia, which can affect their initial velocity and the force of gravity acting upon them. This can result in heavier projectiles traveling shorter distances compared to lighter projectiles with the same initial velocity and launch angle. Additionally, air resistance may have a greater impact on heavier projectiles, further reducing their overall distance traveled.
Which would be the best that describes why projectiles move in a curved path?
Projectiles move in a curved path due to a combination of their initial velocity and the acceleration due to gravity. Gravity continuously acts on the projectile, causing it to follow a parabolic trajectory, even if it was given an initial velocity in a straight line.
What do you need to know to be able to determine how far a projectile travels horizontally?
To determine how far a projectile travels horizontally, you need to know the initial velocity of the projectile, the angle at which it was launched, and the acceleration due to gravity. Using these values, you can calculate the time of flight and then multiply it by the horizontal component of the initial velocity to find the horizontal distance traveled.
