QUESTION 1 (20 a) Solve the differential equation UTM MARKS) UTM dy y sin r x x 31 UTM & UTM UTM 8 Uda -y³, y(T) = 0. b)

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Question 1 20 A Solve The Differential Equation Utm Marks Utm Dy Y Sin R X X 31 Utm Utm Utm 8 Uda Y Y T 0 B 1 (72.33 KiB) Viewed 21 times

QUESTION 1 (20 a) Solve the differential equation UTM MARKS) UTM dy y sin r x x 31 UTM & UTM UTM 8 Uda -y³, y(T) = 0. b) An arrow is shot straight upward from the ground with an initial velocity of 10ms-1. The air resistance is equal to ku2g, where v is the velocity of the arrow, k is a constant and g is the gravitational constant. The differential equation is given by UTM & UTM UTM (10 marks) dv V =-kv-g, da where is the displacement of the arrow at time t which is taken as positive in the upward direction. Given that g = 9.8 ms 2 and k = 0.05, i. Find the expression of the motion in terms of u and z. (8 marks) ii. Find the maximum height attained by the arrow. (2 marks)