Can we have same horizontal range for different angle of projection? A projectile can have the same range for two angles of projection . If h1 and h2 are maximum heights when the range in the two cases is R, then the relation between R,h1 and h2 is.
Can there be two angles for same horizontal range?
There are two angles of projection for which the horizontal range of the same . PT the sum of maximum heights for these angles does not depend on the angle of projection.
Can you achieve the same range with different projection angles?
If h1 and h2 are maximum heights when the range in the two case R, then the relation between R, h1 and h2 is.
For which angle horizontal range is same?
Horizontal range is same for angle of projection theta and (90 – theta) .
How many angle of projection are there for the same horizontal range?
There are two angles of projection for which the horizontal range is the same.
What are other angles of projection that would give the same range with the same initial velocity?
Horizontal range Horizontal range is same for a pair of projection angle. It means that the range of the projectile with a given initial velocity is same for a pair of projection angles θ and 90° – θ .
Is it possible to have two trajectories that have the same range?
a. Any two angles that have a 2:1 ratio will result in the same range when launched at the same speed .
For what two angles of projectile the range of projectile is same?
A projectile can have the same range R for two angles of projection . If t1 and t2 be the times of flight in the two cases, then the product of the two times of flight is directly proportional to. A. 1R2.
For which pair of angles range is same?
Therefore, the complementary angle 40° and 50° are the angles to cover the same range.
What should be the angle of projection so that the horizontal range is equal to the maximum height?
If the angle of projection is [{ 75.96^ circ }] , the maximum height is equal to the horizontal range.
What is horizontal range of projectile?
Horizontal range of a projectile is the horizontal distance travelled by the projectile between launch and the landing points . We will begin with an expression for the range for a projectile, projected at an angle on a level ground meaning launch and landing points are at the same height.
What is the relation between the two angles of projection for which range remains the same for a given initial velocity?
Motion in A Plane. Show that there are two angles of projection for which horizontal range is the same. Thus horizontal range is the same for angle of projection θ and α = 90°–θ .
How does the angle of projection affect the range and height of a projectile?
Generally, when the projectile velocity and the angle of projection are held constant, the higher the projection height, the longer the flight time . Hence, if flight time is longer then distance is greater.
Why does 45 degrees give maximum range?
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 does launch angle affect horizontal distance?
Launch angles closer to 45 ° 45degree 45° give longer maximum horizontal distance (range) if initial speed is the same (see figure 5 above). These launches have a better balance of the initial velocity components that optimize the horizontal velocity and time in air (see figure 4).
At what angle of projectile is the horizontal range minimum?
The horizontal range will be minimum if the angle of projection is 90° .
What is the relation between horizontal range and maximum height?
When the range is maximum, the height H reached by the projectile is H = R max /4. The relation between horizontal range and maximum height is R = 4Hcotθ .
What is the maximum value of horizontal range?
The maximum horizontal range of a projectile is 400m .
What does horizontal range depend on?
The horizontal range depends on the initial velocity (u), the launch angle (θ) and the acceleration due to gravity (g) .
For what angle of projection range of a projectile is maximum?
When range of a projectile is maximum, its angle of projection may be 45^∘ or 135^∘ .
Why does 30 and 60 degrees have the same range?
An object thrown up into the air at 60 degrees will have the same horizontal distance (or range) as if it were thrown at 30 degrees. The only difference is the height the objects go and the time they are in the air .
What is maximum range?
The greatest distance a weapon can fire without consideration of dispersion .
Which angle of release gives the maximum range of a projectile?
A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees .
What factors affect how a projectile will land?
- Gravity.
- Air Resistance.
- Speed of Release.
- Angle of Release.
- Height of Release.
- Spin.
What is range of projection?
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.
