Projectile motion velocity question

In summary, the x component of the initial velocity remains constant since there is no acceleration in the x-direction. At maximum height, the velocity is equal to v0cosθ0i. In a vacuum, there is no drag force or external factors affecting the x-component of velocity. However, in the real world, the drag force of air and wind direction would need to be considered in the calculation.
  • #1
J-dizzal
394
6
Is the x component of the initial velocity equal to the velocity of the projectile at max height?

v0cosθ0i = vmax heighti
 
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  • #2
J-dizzal said:
Is the x component of the initial velocity equal to the velocity of the projectile at max height?

v0cosθ0i = vmax heighti

Yes it is. The ##x##-component never changes since there is no acceleration in the ##x##-direction. At maximum height, ##v_y = 0##, so ##\vec{v} = v_0 \cos{\theta_0} \hat{\imath}##.
 
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Likes fireflies
  • #3
we are talking in vacuum, right?
 
  • #4
gsal said:
we are talking in vacuum, right?
yes that is the assumption
 
  • #5
well if want to solve in real world then you have to consider drag force of air which will act on both x and y component and if wind is also blowing then it will effect the answer more but in ideal case as there is no acceleration along x direcion so dv/dt is 0 so velocity along x (v0 cos(angle of projection from horizontal) does not changes.
 

FAQ: Projectile motion velocity question

1. What is projectile motion velocity?

Projectile motion velocity is the rate at which an object is moving in a specific direction at any given time during its motion. It is a vector quantity, meaning it has both magnitude and direction.

2. How is projectile motion velocity calculated?

The formula for calculating projectile motion velocity is v = v0 + at, where v is the final velocity, v0 is the initial velocity, a is the acceleration, and t is the time. This formula can be broken down into components (horizontal and vertical) if necessary.

3. Does projectile motion velocity change during flight?

Yes, projectile motion velocity can change during flight due to factors such as air resistance, gravity, and external forces. However, in the absence of these factors, the velocity remains constant.

4. What is the difference between initial velocity and final velocity in projectile motion?

Initial velocity refers to the velocity of an object at the beginning of its motion, while final velocity is the velocity at the end of its motion. In projectile motion, initial velocity is typically the velocity at which the object is launched, and final velocity is the velocity at which it lands.

5. Can projectile motion velocity be negative?

Yes, projectile motion velocity can be negative if the object is moving in the opposite direction of the chosen coordinate system. For example, if the positive direction is upwards and the object is moving downwards, the velocity would be negative.

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