Explanation: The range of the cannon is 770 m. The shot is horizontal, so there is no initial vertical velocity.
How do you find distance traveled horizontally?
Horizontal distance can be expressed as x = V * t . Vertical distance from the ground is described by the formula y = – g * t² / 2 , where g is the gravity acceleration and h is an elevation.
How far will the cannon ball fly horizontally before it strikes the ground?
The cannon ball will fly 320 m before hitting the ground.
How far does a cannon ball travel?
It had a maximum range of 1500–1600 metres, with an effective range of around 725-825 metres.
What is the horizontal distance a projectile travels?
The horizontal distance traveled 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.
What is the horizontal distance?
Horizontal distance means the distance on a line parallel to the horizon (not parallel to the slope).
How do you calculate how far a projectile will travel?
The equation for the distance traveled by a projectile being affected by gravity is sin(2θ)v2/g, where θ is the angle, v is the initial velocity and g is acceleration due to gravity.
What happens when a projectile is launched horizontally?
A projectile is launched at an angle to the horizontal and rises upwards to a peak while moving horizontally. Upon reaching the peak, the projectile falls with a motion that is symmetrical to its path upwards to the peak.
Check Your Understanding.
| Horizontal Info: | Vertical Info: |
|---|---|
| ax = 0 m/s/s | ay = -9.8 m/s/s |
What was the maximum height the cannonball reached?
20.4 m
1 Expert Answer
a = g = -9.8 m/s (g is acceleration due to gravity. It is pointing downwards, so it is negative). h = 20.4 mthis is the max height reached by the cannon ball.
How does an object thrown horizontally move?
– An object thrown horizontally is accelerated downward under the influence of gravity. – Gravitational acceleration is only vertical, not horizontal. – The object’s horizontal velocity is unchanged, if we can neglect air resistance.
How far can a old cannon shoot?
They fired projectiles weighing from 1,900 to 2,700 pounds (850 to 1,200 kg) at a maximum speed of 2,690 feet per second (820 m/s) with a range of up to 24 miles (39 km).
How many mph does a cannonball go?
Cannonball record progression
| Time (hrs:mins) | Year | Notes |
|---|---|---|
| 26:38 | 2020 | 106 mph (171 km/h) average. Unknown Team. Coverage limited to news reporting as of May 2020. |
| 25:39 | 2020 | 110 mph (180 km/h) average, 31 minutes stopped, 65 US gal (250 L) fuel capacity. |
How fast do cannon balls travel?
It seems likely to be in between 250 and 100 m/s (250 m/s is about 820 feet per second).
Why is 45 degrees the maximum range?
The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.
What is the maximum height?
Maximum height of the object is the highest vertical position along its trajectory. The object is flying upwards before reaching the highest point – and it’s falling after that point. It means that at the highest point of projectile motion, the vertical velocity is equal to 0 (Vy = 0).
How do you calculate true horizontal distance?
CALCULATING HORIZONTAL DISTANCE
Rearrange the terms of equation: multiply both sides by run. Divide both sides by slope percent. run = (rise × 100 ) / slope % is a measure of horizontal distance.
How do you measure horizontal distance from a total station?
When calculating the horizontal distance between points, this difference also needs to be taken into consideration. Because the total station gives a true slope distance, the horizontal difference is simply H = s * cos α (see figure below).
How do you find when a projectile will hit the ground?
Double the time if the height the projectile is launched from is equal to the level that it will land at. For example, if the projectile was launched and landed at the same height and it took one second to reach it’s peak, the total time in flight would be two seconds.
How do you find the distance?
To solve for distance use the formula for distance d = st, or distance equals speed times time. Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t.
How do you predict where a projectile will land?
This can be determined by launching the ball horizontally off the table and measuring the vertical and horizontal distances through which the ball travels. Then the initial velocity can be used to calculate where the ball will land when the ball is shot at an angle.
What is the maximum horizontal distance?
The maximum horizontal distance traveled by a projectile is called the range. The range R of a projectile on level ground launched at an angle θ0 above the horizontal with initial speed v0 is given by (R=frac{{{{v}_{0}}^{2}}text{sin}{2theta }_{0}}{g}).
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