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+15+52 Given that the velocity v = - find the equation for v and use it to find the velocity dt 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 dv when t=1 second? dt Give your answer to correct level of engineering accuracy and with the correct units. c) Given that the position p =6sin( 507) where p 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 accuracy and with appropriate units. Integration a) The equation for the velocity v (ms 1) in time t (sec) is v= 20t +1272 Given that v =- ds use integral calculus to find an equation for s given that dt when t=0. s =6 m Use your equation to find s when t = 1 second. b ) The force F required to move an object a distance x m is given by: F = 4ex Given that the equation for work done IV = | Fax find an equation for W given that when x =0 W =8 E Use this equation to find the value of W when x - C meters