physics help...?

Question

A rocket is launched at an angle of 53.0 degrees above the horizontal with an initial speed of 100 m/s. It moves 3.00 sec along its initial line of motion with an acceleration of 30.0 m/s^2. At this time its engines fail and the rocket proceeds to move as a free body. Find (a) the maximum altitude reached by the rocket, (b) its total time flight, and (c) its horizontal range.

Answer 1

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Answer 2

The rocket starts at 100m/s and accelerates at 30m/s^2 for 3 sec. After 3 sec it will be going v = [100+3*30] m/sec The distance traveled along its trajectory is s = .5*a*t^2, or s = .5*30*3^2. The vertical distance is y = s*sin(53º), and its vertical velocity is vy = v*sin(53º). It then decelerates under the influence of gravity (free-fall) which acts vertically only. The vertical velocity under this part of the path is vy - g*t. Max elevation is reached when the vertical velocity is zero, and the time for that is t1 = vy/g. The max elevation (after the acceleration stops) is vyt1 - .5*g*t1^2 = vy^2/g -.5*vy^2/g = .5*vy^2/g; then total height h = .5*vy^2/g + y.

The total flight time is the sum of the segments 3 sec (acceleration segment) + t1 above ( = vy/g), free-fall upward segment), plus the fall time. The fall time you get from h = .5*g*t2^2: t2 = √[2*h/g]. (h was calculated above).

The horizontal range is also the sum of the segments. The first is s*cos(53º). The rest you get from the horizontal velocity component at the end of the acceleration phase. That is v*cos(53º). That doesn't change. Multiply that times the time of the next two segments, t1= vy/g and t2 = √[2*h/g]. Add them all together.

Answer 3

you're staggering, physics isn't common, and atmospheric physics tremendously so. The "common physics" motives of the greenhouse effect are often fairly incorrect. And curiously to be the case right here which you have taken your awareness of the GE from considered one of them. to start with, no, the GE would not perform in any respect like an definitely greenhouse, which acts just to limit air circulate interior of its partitions. And few human beings as we communicate have self belief that does, so there is little reason to stay on it. Your first fake effect is that including extra CO2 to the ambience will extra close the infrared "window." this is all waiting closed! particularly much each and every of the infrared radiation emitted via Earth's floor is absorbed via the ambience interior of various meters of the exterior. including extra CO2 would not impact that. What it does impact is the place the radiation is in a position to flee to area. If we've been to seem at Earth from afar we would see that it relatively is radiating capability like an merchandise it incredibly is approximately 255 ok. besides the undeniable fact that, if we degree the temperature on the exterior we see that this is easily around 288 ok. it relatively is as a results of the fact the point that Earth is radiating capability to area isn't on the exterior, yet extreme up in the ambience, the place temperatures are lots less warm. This in turn is as a results of the fact the ambience absorbs and reemits terrestrial radiation in all guidelines, till the radiation finally reaches a layer of the ambience extreme adequate and skinny adequate to flee to area. it relatively is the place the greenhouse effect is provided in. If we upload extra CO2 (or the different GE) to the air, it makes the decrease layers of the ambience extra opaque, and so strikes the altitude that radiation is in a position to bypass to area to a extra physically powerful layer. those larger layers are lots less warm, and so as that they do no longer radiate warmth so properly. as a effect the fee that radiation escapes to area is decrease, and the planet will take in extra beneficial than it radiates. simply by fact the better tiers emit lots of the surplus downwards, the decrease tiers will heat each and every of how all the way down to the exterior. This clarification additionally refutes your 2nd fake effect, it incredibly is that each and every of the significant absorption happens close to to the exterior. it incredibly is partly actual, yet beside the point considering that increasing CO2 concerns extreme up in the ambience, the place CO2's absorption bands are not saturated.

Answer 4

in physics only practise is needed