Projectile Motion: Time, Distance, and Velocity in 2D

We can rearrange this to find the final velocity, vf:vf = sqrt(vi^2 + 2as)Substituting in our values:vf = sqrt(0 + 2*(-9.81)*(200))vf = 196.2ms-1So, the velocity when it lands is 196.2ms-1. In summary, the cannon ball fired horizontally at a speed of 1000.0m/s from a height of 200.0m takes 6.39 seconds to land and lands at a distance of 6390m with a velocity of 196.2ms-1.
  • #1
blue__boy
8
0
A cannon ball is fired horizontally at a speed of 1000.0m/s from a height of 200.0m

a.) How long does it take for the ball to land?
6.39s
b.) Where does it land?
6390m
c.) What is its velocity when it lands?



I get the a and b part...but i just don't understand what am i supposed to do with c.)

Thx for helping =]
 
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  • #2
You can use constatnt acceleration formulae to calculate the y velocity and the x velocity as it lands seperately.
Because the y and x axes are perpendicular to each other, you are able to use pythagoras' theorem to calculate the total velocity (the hypotenuse in this case).
 
  • #3
oh...i am having trouble finding the vertical velocity too...
 
  • #4
initial vertical velocity = 0ms-1, because it is only fired horizontally (no vertical components).
height = 200m
acceleration = -9.81ms-2

we can use the constant acceleration formulae: vf^2 = vi^2 + 2as --> Where s is displacement.
 

1. What is projectile motion in 2D?

Projectile motion in 2D is the motion of an object that is thrown or launched into the air, moving along a curved path due to the force of gravity. It is a combination of horizontal and vertical motion.

2. What factors affect projectile motion in 2D?

The factors that affect projectile motion in 2D are the initial velocity, the angle of launch, and the force of gravity. Air resistance and wind can also have an impact on the motion of the object.

3. How is the range of a projectile calculated?

The range of a projectile can be calculated using the formula R = (v02sin2θ)/g, where R is the range, v0 is the initial velocity, θ is the angle of launch, and g is the acceleration due to gravity.

4. Can a projectile have the same range at different angles?

Yes, a projectile can have the same range at different angles as long as the angles are complementary, meaning they add up to 90 degrees. This is because the horizontal component of the initial velocity remains the same, resulting in the same range.

5. How does the mass of a projectile affect its motion?

The mass of a projectile does not affect its motion in terms of its trajectory or range. This is because the force of gravity acts on all objects equally, regardless of their mass. However, a heavier object may experience more air resistance, which can slightly alter its motion.

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