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 that there are two angles of projection for which the horizontal range is same for a projectile?
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.
Can we have same horizontal range for different angle of projection?
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 horizontal range independent of angle of projection?
Horizontal range is independent of angle of projection.
How can two angles have the same range?
Any two angles that have a 2:1 ratio will result in the same range
when launched at the same speed
. b. Two launch angles that add to 90° will result in the same range when launched at the same speed.
What is the angle of projection for maximum horizontal range?
The maximum horizontal range is given for angle of projection of
45°
.
At what angle is maximum range can be attained?
The textbooks say that the maximum range for projectile motion (with no air resistance) is
45 degrees
.
What is the formula of horizontal range?
Horizontal distance can be expressed as
x = V * t
. Vertical distance from the ground is described by the formula y = – g * t2 / 2 , where g is the gravity acceleration
What is angle of projection?
Answer:
The angle at which an observer draw an object to convert it from 3D to 2D plane such as real object image to a plane paper
is known as angle of projection.
How does the angle of projection affect the range?
In the nutshell, the range,R,
increases with increasing angle of projection for 0° ≤ θ < 45°
; the range,R, is maximum when θ = 45°; the range,R, decreases with increasing angle of projection for 45° < θ ≤ 90°. Horizontal range Horizontal range is same for a pair of projection angle.
Why is the range Same for complementary angles?
The range of a projectile fired at an elevation angle of 40° will also be the same if it is fired at 50°. The angles 40° and 50° are called complementary angles
because they add up to 90°
.
Why is 45 degrees the best 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. An additional aerodynamic force arises if the ball is spinning.
What is angle of projection at which horizontal range and maximum height are equal?
If the angle of projection is
75.96 degrees
the maximum height is equal to the horizontal range.
At what angle of projection the horizontal range is 4 times the maximum height attained by the projectile?
The horizontal range is maximum when the angle of projection is
45°
. That is, range is 4 times the maximum height attained by a projectile.
Why does launch angle affect distance?
Launching
slightly upward will increase
the distance because the projectile travels for a longer time. But launching too close to straight up would decrease the distance, since the projectile has no horizontal velocity.
