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$300.00 (1 Bid) Time Remaining: 1d 45m |
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$250.00 Time Remaining: 5d 4h 9m |
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Big Bertha
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During World War I, the Germans had a gun called Big Bertha that was used to shell Paris.?
The shell had an initial speed of 1.45 km/s at
an initial inclination of 33.2◦ to the horizontal.
The acceleration of gravity is 9.8 m/s2 .
How far away did the shell hit?
Answer in units of km.
First determine the x and y components of the force, the x component will be 1450*cos(33.2). The y component the same, but with the sine of the angle. Then, using those values, calculate two things, first the time, then the distance in the x-direction.
The Time: v=at+vi, or 0=9.8t+viy, solve for t, then double it to get time.
where vi=initial velocity
where viy= initial velocity in the y-direction.
The explanation here is a little long, but it's important to understand why that's the solution. Assuming the understanding of dividing the velocity into x and y components, we can calculate the time for the whole situation by using only the y component, because, as odd as it may seem, this object will fall exactly as fast as one tossed straight up in the air with its initial y-velocity. Knowing this, we can treat it as exactly that. The time for the object to come to a halt, that is for it to get to the top of its flight, is calculated by V=Viy+at, solving for t, and then, starting from the top, the flight back is exactly the same, so you double the value of t.
The x-distance:
Now that you know the time it takes for the whole situation to occur, just multiply the x-velocity and the time together, (m/s)*s=m. So you will have the distance it has traveled.