Question

Please can you assist with the below,

a) If the vertical position of the UAV from the launch point is modelled by the distance (S) equation S=136t3-3t +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=136ln(3t3+t). Calculate its speed 57 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=(57/2)Sin(100πt+?6) amperes at the instant when time t=10ms.

d) If the speed of the UAV is described by the equation: V=57-6t+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' 57 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=14(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= 14e-0.2t, between the time periods of t=0s and t=25s.

Answer 1