A - 4B - 2.4C - 1.2

Task 1 Differentiation a) The equation for s, the distance travelled in metres, in time t in seconds is: S = 7+154+5/2 ds Given that the velocity v find the equation for v and use it to find the velocity when t=A seconds. Give your answer with the correct units. b) The voltage V (in Volts) across a capacitor after time t (in seconds) is given by the equation: V =10 -10e What is the value of - cdv dt when z =1 second? Give your answer to correct level of engineering accuracy and with the correct units. c) Given that the position p = 6sin( 507) where s is in metres and t in seconds, find the gradient of the waveform when t = B seconds Give your answer to the correct level of engineering accure y and with appropriate units. Integration a) The equation for the velocity v (ms ?) in time is (sed) is v=20t +12r- Given that v = ds use integral calculus to find an equation for's given that t when t =0, s=6 m Use your equation to find s when z = 1 second b ) The force F required to move an object a distance a m is given by F = 4e Given that the equation for work done IT = | Fob find an equation for wy given that when x =0, W =8 Use this equation to find the value of W when x = C meters