Table of Contents
- 1 Why do different angles have the same range?
- 2 Do two projectiles launch at complementary angles always yield the same range?
- 3 What are the two angles for which range of a projectile is the same?
- 4 How do you relate the initial speed of the projectile to the height of the projectile trajectory?
- 5 What will happen to a projectile launched at an angle if there is no gravity?
- 6 When two projectiles are fired from complementary angles having times of flight TT and maximum heights h h respectively Which of the following is incorrect?
- 7 Do two projectiles with the same velocity have the same time?
- 8 What is the horizontal distance travelled by a projectile called?
Why do different angles have the same range?
The maximum distance varies continuously with the angle of inclination. Then we can pick two angles (one larger than 45 and another one smaller than 45) that will give the same range. The maximum height corresponds to the maximum potential energy.
Do two projectiles launch at complementary angles always yield the same range?
will have the same range as a projectile launched with an initial speed v0 at 90° − θ. (Identical projectiles launched at complementary angles have the same range.)
For what two angles of projection the range of projectile is same keeping initial speed same?
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.
What are the two angles for which range of a projectile is the same?
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 do you relate the initial speed of the projectile to the height of the projectile trajectory?
It depends on the initial velocity of the projectile and the angle of projection. The maximum height of the projectile is when the projectile reaches zero vertical velocity. From this point the vertical component of the velocity vector will point downwards.
What factors affect the distance a projectile travels and how?
Factors affecting the flight path of a Projectile are:
- Gravity.
- Air Resistance.
- Speed of Release.
- Angle of Release.
- Height of Release.
- Spin.
What will happen to a projectile launched at an angle if there is no gravity?
Consider again the cannonball launched by a cannon from the top of a very high cliff. Suppose that the cannonball is launched horizontally with no upward angle whatsoever and with an initial speed of 20 m/s. If there were no gravity, the cannonball would continue in motion at 20 m/s in the horizontal direction.
When two projectiles are fired from complementary angles having times of flight TT and maximum heights h h respectively Which of the following is incorrect?
Therefore the square of the range of the projectile is equal to 16 time the product of maximum heights of the projectile.
Why do projectiles have different ranges for different projection angles?
This is because it strikes a balance between hang-time and horizontal velocity creating the maximum range. Fact is, the range is proportional to the sine of twice the projection angle. So, the range of two projectiles is same if their projection angles are complementary.
Do two projectiles with the same velocity have the same time?
Well, they may or they may not. It all depends on the vertical component of the speed with which the projectile is thrown. So, if two projectiles have same vertical component of velocity, they will have equal time of flight.
What is the horizontal distance travelled by a projectile called?
The horizontal distance travelled by a projectile is called its range. A projectile launched on level ground with an initial speed v0 at an angle θ above the horizontal will have the same range as a projectile launched with an initial speed v0 at 90° − θ and maximum range when θ = 45°. (1 vote)
How to prove that two projectiles cover the same maximum height?
Two projectiles are thrown with different velocities and at different angles so as to cover the same maximum height. Show that the sum of the times taken by each to reach the highest point is equal to the total time taken by either of the projectiles. Was this answer helpful?