Mathematics 31 - Module 6 Assignment Booklet 4 2. An object is moving in a straight line. The distance (in metres) from a fixed point is given by s=-21' -41 +61+4, where i 2 0. Determine the acceleration when the velocity is -2 m's. 4 3. The relationship between displacement s and velocity v is given by us? -4v2 =12. Find the acceleration a at any time. Mathematics 31 - Module 6 Assignment Booklet Section 3 Assignment: Related Rates 21 Read all parts of your assignment carefully and record your answers in the appropriate places. 4 1. The height / of an equilateral triangle is increasing at a rate of 3 cm/min. How fast is the area changing when h is 5 cm? Give your answer correct to two decimal places. 5 2. A coffee filter has the shape of an inverted cone. The radius is 8 cm at the top and the filter's height is 10 cm. Water is drained from the filter at the rate of 25 cm /s. How fast is the depth of the water decreasing when it is 5 cm deep? Give your answer correct to three decimal places. Mathematics 31 - Module 6 Assignment Booklet 4 3. Two straight highways are perpendicular to each other. Car A is 3 km from the intersection and is moving at 100 km/h toward the junction. On the other highway, Car B is 5 km from the intersection and is moving at 90 km/h toward the junction. At what rate is the distance between the two cars changing at that instant? Give your answer correct to two decimal places