Finding range given impact velocity?

Therefore, the horizontal range (Δx) can be calculated by finding the horizontal component of the initial velocity (Vix) and the time of flight (Δt). In summary, the projectile shot over level ground with a velocity of 65m/s at an angle of 25° below the horizontal has a horizontal range of approximately 330m. The launch and impact velocities and angles are symmetrical, so the horizontal range can be calculated using the horizontal component of the initial velocity and the time of flight.
  • #1
jerm174
1
0
A projectile shot over level ground hits the ground with a velocity of 65m/s at an angle of 25° below the horizontal. What was the horizontal range of the projectile?
170m
330m
780m
360m

If something is launched over a horizontal plane, does Vi=Vf? (same magnitude and velocity) (but different direction obviously).
Would I then be able to find Vix and Δt to find the Δx (range)?
 
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  • #2
jerm174 said:
A projectile shot over level ground hits the ground with a velocity of 65m/s at an angle of 25° below the horizontal. What was the horizontal range of the projectile?
170m
330m
780m
360m

If something is launched over a horizontal plane, does Vi=Vf? (same magnitude and velocity) (but different direction obviously).
Would I then be able to find Vix and Δt to find the Δx (range)?

Welcome to the PF.

Yes, over level ground with no air resistance, the launch and impact velocities and angles should be symmetrical.
 

Related to Finding range given impact velocity?

1. What is the equation for finding range given impact velocity?

The equation for finding range given impact velocity is R = V0 * t * sin(2θ), where R is the range, V0 is the initial velocity, t is the time of flight, and θ is the launch angle.

2. How does air resistance affect the calculation of range given impact velocity?

Air resistance, or drag, can significantly decrease the range of a projectile. This is because air resistance slows down the projectile and reduces its horizontal velocity, ultimately reducing its range.

3. Is the launch angle important in determining the range given impact velocity?

Yes, the launch angle is a crucial factor in determining the range given impact velocity. The higher the launch angle, the longer the projectile will stay in the air, resulting in a greater range.

4. Can the range be greater than the initial velocity?

No, the range cannot be greater than the initial velocity. This is because the initial velocity is a component of the range equation and is a limiting factor in determining the range.

5. How can I improve the accuracy of my calculation of range given impact velocity?

To improve the accuracy of the calculation, you can use more precise measurements for the initial velocity and launch angle, take multiple measurements and average them, and reduce the effects of air resistance by using a more streamlined projectile or performing the experiment in a vacuum.

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