The rocket should be released at a horizontal street of 6.45 m left of the loop.
Mass of the rocket version (m) = 460 g = 0.460 kg <1 g = 0.001 kg>
Speed of the dare (v) = 3.0 m/s
Thrust force by the rocket engine (F) = 8.5 N
Vertical elevation of the loop (y) = 20 m
Let the horizontal street left to the loop because that launch be \"x\". Also, let \"t\" be the moment taken by the rocket to with the loop.
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Now, there room two varieties of motion associated with the rocket- one is horizontal and the various other vertical.
So, we will use kinematics of activity in the two directions separately.
Force exhilaration in the upright direction is provided as:
So, acceleration in the vertical direction is given as:
Acceleration = pressure ÷ mass
Vertical displacement that rocket is very same as the height of loop. So,
There is no early stage velocity in the vertical direction. So,
Now, applying equation of activity in vertical direction. Us have:
Now, time required to reach the loop is 2.15 s.
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There is no acceleration in the horizontal motion. So, displacement in the horizontal direction is equal to the product the horizontal speed and also time.
Also, displacement that the rocket in the horizontal direction is nothing but the horizontal street of its launch left the the loop. So,
Therefore, the rocket need to be introduced at a horizontal street of 6.45 m left that the loop.