Will the initial velocity be the same as the final velocity?
Table of Contents
- 1 Will the initial velocity be the same as the final velocity?
- 2 How are the initial and final vertical velocities related in projectile motion?
- 3 How does the initial speed affect the range of a projectile?
- 4 What is initial velocity in projectile motion?
- 5 Does initial velocity affect range?
- 6 How does the final velocity compare to the initial velocity if it lands on the same horizontal level?
Will the initial velocity be the same as the final velocity?
For ideal conditions, initial velocity equals final velocity if, but only if, initial and final elevations (Y) are equal. In fact during flight, the velocity on the way up at a given elevation (Yn) is the same as the velocity on the way down at that same elevation (Yn).
If we take the initial position y 0 to be zero, then the final position is y = 10 m. The initial vertical velocity is the vertical component of the initial velocity: v 0 y = v 0 sin θ 0 = ( 30.0 m / s ) sin 45 ° = 21.2 m / s .
How does the initial speed affect the range of a projectile?
(a) The greater the initial speed v0, the greater the range for a given initial angle. (b) The effect of initial angle θ0 on the range of a projectile with a given initial speed. Note that the range is the same for 15º and 75º, although the maximum heights of those paths are different.
How do you compare the initial and final velocity of an object launched at an angle?
Vertical components will always have the acceleration of gravity acting on them. Vertical motion is symmetrical – the distance and time are the same in the rise as in the fall; the final velocity will have the same magnitude as the initial velocity but in the opposite direction.
How will you compare the initial velocity with the final velocity as the ball reaches the point of release?
In order for the ball to move upwards its initial velocity must be greater than zero. As the ball rises, its velocity decreases until it reaches its maximum height, where it stops, and then begins to fall. As the ball falls, its speed increases….Objects Launched Upward.
| Variable | Value |
|---|---|
| a | -9.8 m/s2 |
| t | 0.40 s |
What is initial velocity in projectile motion?
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.
Does initial velocity affect range?
The horizontal displacement of the projectile is called the range of the projectile and depends on the initial velocity of the object. If an object is projected at the same initial speed, but two complementary angles of projection, the range of the projectile will be the same.
How does the final velocity compare to the initial velocity if it lands on the same horizontal level?
In the absence of too much air resistance, for a projectile that is launched at the same horizontal level due to symmetry, the final velocity and the angle of impact, are usually equal to the initial velocity even though the directions of their motions are exactly opposite.