Question

In: Physics

a) If the vertical position of the UAV from the launch point is modelled by the...

a) If the vertical position of the UAV from the launch point is modelled by the distance (S) equation S=142t3-3t +5, calculate the speed and acceleration of the UAV and identify the time when the vehicle turns in its path and whether the turning point is at a maximum or minimum height on its flight path. Explain your methodology in reaching your conclusions clearly.

b) If the vehicle’s distance is modelled by the equation S=142ln(3t3+t). Calculate its speed 66 seconds after launch.

c) The self induced e.m.f (measured in volts, V) in a circuit inductor can be found by using: e= L???? volts, where L is the inductance in Henrys (H). Calculate (e) the induced e.m.f. when an inductor of 250mH passes a current i=(66/2)Sin(100πt+?6) amperes at the instant when time t=10ms.

d) If the speed of the UAV is described by the equation: V=66-6t+10e-0.1t. Find the distance (S) of the object at t=5 if it is known that at t=10, S=100.

e) Estimate the spray volume covered by the UAV (when used to spray water in forest fires) if travelling in a parabolic path simulated by the height (h) and time (t) relationship, h = Ct2 (where 'C' 66 is a constant) between t=0 and t=10sec.

f) Find the mean Voltage across a capacitor in a circuit over the time interval between 0-50 seconds given that the Voltage across the charging capacitor in a UAV circuit is described by the function: V=8(1-e-0.1t) volts.

g) Generate the formulae and values for the electric current average (mean) and r.m.s. (root mean square) of a UAV circuit if the current can be represented as i= 8e-0.2t, between the time periods of t=0s and t=25s.

Solutions

Expert Solution

Do let me know if you have any confusions.

Do upvote if you like my answer. Thank you ?.

Best of luck to you ?.


Related Solutions

Question 1: (a) A gymnast jumps from a platform at vertical position sy = 1.0m above...
Question 1: (a) A gymnast jumps from a platform at vertical position sy = 1.0m above a trampoline at sy = 0 m. The gymnast’s vertical velocity at the moment when she leaves the platform (time t = 0) is  vy = 3.0 m/s. The positive vertical direction is upwards. Assume that the effects of air resistance and friction can be neglected touches the trampoline at time t= t1 (i) Sketch a graph of the gymnast’s vertical position versus time between...
king Arthur’s knights use a catapult to launch a rock from their vantage point on top...
king Arthur’s knights use a catapult to launch a rock from their vantage point on top of the castle wall, 15m above the moat. the rock is launched at a speed of 27m/s and an angle of 32 degrees above the horizontal. how far from the castle wall does the launched rock hit the ground?
The electric potential at a position located a distance of 22.5 mm from a positive point...
The electric potential at a position located a distance of 22.5 mm from a positive point charge of 8.20×10-9C and 13.0 mm from a second point charge is 1.06 kV. Calculate the value of the second charge. Also... A positive charge of 4.40 μC is fixed in place. From a distance of 4.40 cm a particle of mass 6.00 g and charge +3.90 μC is fired with an initial speed of 66.0 m/s directly toward the fixed charge. How close...
To do so, you are given data from a series of experiments during which UAV “A”...
To do so, you are given data from a series of experiments during which UAV “A” and UAV “B” were tested under controlled conditions. For each experiment, both UAVs were flown. The data is shown below. Target UAV "A"score UAV "B"Score 1 72 94 2 76 88 3 42 36 4 18 28 5 11 10 Assume that the data are paired (i.e. tested against the same targets). At a significance level of Alpha= 0.05, test the hypothesis that the...
10. Arrange the following compounds in a vertical list from highest boiling point (top) to lowest...
10. Arrange the following compounds in a vertical list from highest boiling point (top) to lowest boiling point (bottom) and explain your answer on the basis of whether the substance is Polar, Nonpolar, Ionic, Metallic or Hydrogen bonding: O2, KF, NH3, Cu, HBr (Please note in this question you are not being asked to list BPs but the compounds in a list from highest to lowest BP on the basis of the type of compound.)
Why is it important to load the autoclave with dry goods in a vertical position with...
Why is it important to load the autoclave with dry goods in a vertical position with room allowed for circulation?
Determine the equation of a sine or cosine function for the vertical position, in metres, of...
Determine the equation of a sine or cosine function for the vertical position, in metres, of a rider on a Ferris Wheel, after a certain amount of time, in seconds. The maximum height above the ground is 26 metres and the minimum height is 2 metres. The wheel completes one turn in 60 seconds. Assume that the lowest point is at time = 0 seconds.
From a marketing concept point of view, is it wrong to sell cigarettes? Defend your position.
From a marketing concept point of view, is it wrong to sell cigarettes? Defend your position.
(1 point) Suppose a pendulum with length L (meters) has angle θ (radians) from the vertical....
(1 point) Suppose a pendulum with length L (meters) has angle θ (radians) from the vertical. It can be shown that θ as a function of time satisfies the differential equation: ((d^2)θ)/(dt^2))+(g/L)sinθ=0 where g=9.8/sec is the acceleration due to gravity. For small values of θ we can use the approximation sin(θ)∼θ, and with that substitution, the differential equation becomes linear. A. Determine the equation of motion of a pendulum with length 0.5 meters and initial angle 0.5 radians and initial...
Use the position function ?(?) = −16?^ 2 + ?0? + ?0 for the following vertical...
Use the position function ?(?) = −16?^ 2 + ?0? + ?0 for the following vertical motion of objects on earth. 5) An object is launched vertically from a 75ft building with an initial velocity of 240 ft/sec. a) Find the velocity of the object 2 second after launch. Is it travelling up or down? b) When will the object reaches its maximum height? c) How long will the object travel in the air? (Hint: how long does it take...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT