what is maximum range in physics

Full Answer

What is the angle of maximum range of a projectile?

If we are on a flat surface, the angle of maximum range is 45 ∘. However, as we increase the initial height (h) of the projectile, we need to throw it at a shallower angle in order to get maximum distance (less than 45 ∘). Also on Cupcake Physics Blog The Finite Difference Method and …

What does range mean in physics?

As bad news shakes up the stock market, here are 5 stocks under $50 that are worth buying. Range is nothing but difference of maximum and minimum values like if we throw a ball horizontally minimum it will be there and maximum there is formula difference is the same that is range

What is the angle of maximum range for a given height?

In any case, we see that as the height increases, the maximum range increases as well. Additionally, as the height increases, the maximum range occurs at smaller and smaller angles. Thus, we finally get to our result. If we are on a flat surface, the angle of maximum range is 45 ∘.

What does range mean in kinematics?

Answer Wiki. In kinematics, range is the horizontal distance travelled by the particle projected obliquely with some angle .

What is maximum range?

The greatest distance a weapon can fire without consideration of dispersion. Dictionary of Military and Associated Terms.

How do you find the maximum range?

0:452:55maximum range of projectile - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo we need the horizontal velocity V cos 45 degrees times the time B sine 45 degrees all over GMoreSo we need the horizontal velocity V cos 45 degrees times the time B sine 45 degrees all over G times two so we just put the two at the front.

What is maximum range of a projectile?

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

Why is 45 maximum range physics?

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. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.

How do you find the minimum range?

0:000:52Learning Maximum Minimum & Range - VERY EASY - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo my maximum is 75 the minimum is the number that is the smallest. And in this case it would be 5MoreSo my maximum is 75 the minimum is the number that is the smallest. And in this case it would be 5 the range is the maximum minus the minimum. So 75 minus 5 equals 70.

How do you find the range in physics?

Step 2: Identify the angle at which a projectile is launched. The projectile is launched at the angle of θ=30∘ θ = 30 ∘ . Step 3: Find the range of a projectile by substituting the initial velocity and the angle found in steps 1 and 2 into the equation R=v20gsin2θ R = v 0 2 g sin ⁡ .

What is the minimum range of projectile?

The horizontal range will be minimum if the angle of projection is 90°. Hence option 2 is correct.

What is range of projectile in physics?

The range of the projectile is the displacement in the horizontal direction. There is no acceleration in this direction since gravity only acts vertically. shows the line of range. Like time of flight and maximum height, the range of the projectile is a function of initial speed.

What does Range mean in physics?

Assuming a projectile is launched from the ground level, the range is defined as the distance between the launch point and the point where the projectile hits the ground.

Why is 45 the best launch angle?

As ball speed increases, so does the drag force and the lower is the required launch angle. A launch at 45 degrees would allow the ball to remain in the air for a longer time, but it would then be launched at a lower horizontal speed at the start and it would slow down more because of the longer flight time.

What is the formula of maximum height?

h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.

What is the best launch angle for maximum range?

45°For ideal projectile motion, which starts and ends at the same height, maximum range is achieved when the firing angle is 45°.

What is the formula of maximum height?

h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.

How do you find the range without an angle?

0:075:23Motion in 2-D Projectile Motion (30 of 31) Find Range=? (General Equation)YouTubeStart of suggested clipEnd of suggested clipThe way to solve this problem is to solve for time in the air both for the x and the y direction. SoMoreThe way to solve this problem is to solve for time in the air both for the x and the y direction. So using the y-direction.

Homework Statement

On level ground, what is the maximum range (in m) of a cannon with muzzle speed 322 m/s?

The Attempt at a Solution

I think (not sure) the angles in the pic is 30 degree. And came up with the answer:

Answers and Replies

Umm...unless you were meant to get a protractor and measure the angle, you don't have enough information for the problem. Also, the "direction" of the range is to the right. Were you given ANY other information?

What is the maximum range of projectile motion?

The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees. How do you get this? Here we go.

Does M/S 2 give meters?

Unit check. (m 2 /s 2) over (m/s 2) does indeed give units of meters. Another check. What if I shoot the ball straight up (θ = π/2)? Well, cos (π/2) = 0, so this gives a horizontal range of 0 meters. Makes sense.

What is range in physics?

In kinematics, range is the horizontal distance travelled by the particle projected obliquely with some angle .

What is range in math?

Range is nothing but difference of maximum and minimum values like if we throw a ball horizontally minimum it will be there and maximum there is formula difference is the same that is range

What is the tensor of conductivity?

Here, σ x x is called direct component of conductivity where as other two components are called transverse components. Thus, the electric field along x-direction creates current components along x-direction as well as along y and z-directions also. Thus, tensors are used to represent the quantities such as electrical conductivity of crystals or broadly anisotropic nature of crystals. There are also other physical properties of crystals act as tensors with rank > 2.

What is the tensor of rank 1?

The quantities such as scalars are commonly referred as tensor of rank 0 (density). Electrical conductivity is called as a tensor of rank 2, here 2 indicates the number of components associated with it, i.e.

What is the coefficient of friction?

Coefficient of friction. As an entry level physicist, when we first introduce friction, it's often of the form f ≤ μ N where f is the force of friction, μ is the coefficient of friction, and N is the normal force the object is currently experiencing.

What does Omega mean in physics?

In physics this term omega is used for angular frequency .

What is amps hour?

Amps is a rate: Charge/second. Amps-hour [ (C/s) * s]= amount of charge [C]. Amp/hours has units of [c/s^2], it tell’s you the rate at which current is increasing or decreasing, which is useful in describing alternating currents.

What is the horizontal range of a projectile?

A projectile’s horizontal range is the distance along the horizontal plane. Moreover, it would travel before it reaches the same vertical position as it started from. After that, the horizontal range is depending upon the initial velocity , the launch angle , and the acceleration occurring due to the gravity.

How far can a motorcyclist go in the gorge?

The horizontal range of the motorcyclist will be 76.8 m if she takes off the bike from the ramp at 28.0 m/s. This is a little bit greater than the 75.0 m width of the gorge, so she will make it to the different side.

What is the initial velocity of a cannon ball?

The initial velocity of the cannon ball is approximately 114 m/s.

What is the only acceleration acting in a projectile?

In projectile motion, the only acceleration acting is in the direction and the direction is in the vertical direction. n other words, its the acceleration due to gravity (g). The equations of the motion are applicable separately in X-Axis and the Y-Axis for finding the unknown parameters. Horizontal Range =. R =.