Asked by: Giedrius Power
science physics

Why is the angle important when launching a projectile?

Last Updated: 13th January, 2020

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.

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Similarly, it is asked, how does launch angle affect projectile motion?

From the initial projectile velocity equations (for component axis) more velocity is applied to the vertical component velocity as the launch angle increases. The horizontal velocity increases while vertical velocity of the projectile decreases as the launch angle goes to zero.

One may also ask, what is the optimal angle to launch a projectile? For ideal projectile motion, which starts and ends at the same height, maximum range is achieved when the firing angle is 45°. If air resistance is taken into account, the optimal angle is somewhat less than 45° and this is often considered obvious.

Also question is, what is projectile launched at an angle?

Projectile Motion for an Object Launched at an Angle. When an object is projected from rest at an upward angle, its initial velocity can be resolved into two components. The upward velocity undergoes constant downward acceleration which will result in it rising to a highest point and then falling backward to the ground

Why is 45 degrees the optimal angle for projectiles?

The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. That means that the best way to launch a high-altitude projectile is to send it flying at a 90-degree angle to the ground—straight up.

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What is the formula for projectile motion?

An object launched into projectile motion will have an initial launch angle anywhere from 0 to 90 degrees. The range of an object, given the initial launch angle and initial velocity is found with: R=v2isin2θig R = v i 2 sin ? 2 θ i g .

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What angle gives maximum range?

The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees.

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What is trajectory of a projectile?

Trajectory of a projectile is the path that particle will take under the action of gravity, neglecting all other forces, such as friction from air resistance.

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What affects projectile motion?

A projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity.

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What are examples of projectile motion?

For example, you throw the ball straight upward, or you kick a ball and give it a speed at an angle to the horizontal or you just drop things and make them free fall; all these are examples of projectile motion. In projectile motion, gravity is the only force acting on the object.

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What angle gives maximum time in the air?

Given the equations of projectile motion (no air resistance), it is easy to find the launching angle theta that produces the maximum range. That angle is 45 degrees. The maximum time of flight is obtain instead for a launching angle theta=90 degrees: the projectile is launched straight up and the range is zero.

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How does gravity affect the trajectory of a projectile?

However, the presence of gravity does not affect the horizontal motion of the projectile. The force of gravity acts downward and is unable to alter the horizontal motion. Thus, the projectile travels with a constant horizontal velocity and a downward vertical acceleration.

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What is the maximum height of a projectile?

The maximum height of the object is the highest vertical position along its trajectory. The maximum height of the projectile depends on the initial velocity v, the launch angle θ, and the acceleration due to gravity. The unit of maximum height is meters (m).

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How do you find the initial velocity of a projectile with an angle?

Consider a projectile launched with an initial velocity of 50 m/s at an angle of 60 degrees above the horizontal. Such a projectile begins its motion with a horizontal velocity of 25 m/s and a vertical velocity of 43 m/s. These are known as the horizontal and vertical components of the initial velocity.

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What is projectile motion in physics?

Projectile motion is a form of motion experienced by an object or particle (a projectile) that is projected near the Earth's surface and moves along a curved path under the action of gravity only (in particular, the effects of air resistance are assumed to be negligible).

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What is the initial vertical velocity of a projectile launched horizontally?

The horizontal velocity of a projectile is constant (a never changing in value), There is a vertical acceleration caused by gravity; its value is 9.8 m/s/s, down, The vertical velocity of a projectile changes by 9.8 m/s each second, The horizontal motion of a projectile is independent of its vertical motion.

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What makes a catapult accurate?

The most efficient and accurate type of catapult, a trebuchet makes use of a heavier counterweight than the payload to provide the energy for launch. The apparatus is set up like a see-saw, with the pivot point much closer to the counterweight end at the front than to the payload and sling at the rear.

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How does the angle affect the range of a projectile?

As it rises and falls, air resistance has a negligible effect. The distance traveled horizontally from the launch position to the landing position is known as the range. The range of an angled-launch projectile depends upon the launch speed and the launch angle (angle between the launch direction and the horizontal).

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What is the best angle to throw a ball at for maximum range?

Most people know that a ball without air resistance (traditional projectile motion) goes the farthest if you throw it at a 45 degree angle.

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How does angle affect distance?

The launch angle determines the maximum height, time in the air, and maximum horizontal distance of the projectile.

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What is the best angle to kick a football?

First, what is the best angle to kick the football at? If I am kicking the ball really slow, a 45° would be close to the best angle. At an angle of 45°, you get the best of both horizontal velocity and time for the ball to be in the air.

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What is the best angle for maximum height and air time?

The best angle for maximum height is 90 o because the initial speed all goes into the vertical component to achieve the highest height. As for the other angles, the vertical component speed is only a part of 18 m/s while the 90 shot uses all 18 m/s to travel. The best angle for air time is 10 .

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What is vertical velocity?

Vertical velocity is a special case of velocity only because the acceleration due to gravity acts in the vertical direction. This means that any motion in the vertical direction will be affected by the acceleration due to gravity.

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What is the best angle to launch a projectile with air resistance?

For ideal projectile motion, which starts and ends at the same height, maximum range is achieved when the firing angle is 45°. If air resistance is taken into account, the optimal angle is somewhat less than 45° and this is often considered obvious.