1. A missile fired ground level rises x 4. The sum of two positive numbers is 30. meters vertically upwards in t seconds One of the numbers is multiplied by the and x = 501 - 6.2512. Find square of the other. If each number is greater than 0, find the numbers that [i) the initial velocity of the missile, make this product a maximum. (il) the time when the height of the missile is a maximum (ili) the maximum height reached and 5. A wooden block is made as shown in (iv) the velocity with which the missile the diagram. The ends are right-angled strikes the ground triangles having sides 3x, 4x and 5x. The length of the block is y. The total surface 2. A particle of unit mass moves so that area of the block is 7,200 cm?. Find the displacement after f seconds is given by length of each side. x = 2 cos (t - 2). Find the acceleration and kinetic energy at the end of 3 Ar seconds. (K.E = (1/2) m v?) 3. The fuel used by a car is defined by f(x)=3x2/80-6x+245, where x is the travelling speed in km/h. What is the most economical speed of the car? In other words, determine the Criteria for Grading; speed of the car which uses the least Presentations (40%) amount of fuel. Show mastery of the content Completeness (60%) All questions have