6 CATOS 2WV Page 4 of 6 8. Consider the expressions v2x-a and va -2x , where a is a positive integer. State the restrictions on the variable x in these two cases, then explain why a restriction is necessary in radical expressions. (2 marks) Solve the following equations. Show all work and verify any potential solution(s). Based on your verifications, state the type of root (real or extraneous) in each case. If an answer is not a whole number, round to the nearest hundredth. a. V9x - 5 =7 (2 marks) b. V2x+6 =15x-3 (2 marks)(3 m VVS: 20-1 A2 23/24 Sem ( - 8 m 2) ( 3 m2) 5+2V3x -2 =4 (2 marks) 3) - 24 m/4 d. V5+2x+ V2x =5 (3 marks)Page 6 of 6 VVS: 20-1 A2 23/24 Sem_ 10. The kinetic energy Ex in joules J, of a moving object can be expressed as Ex = , my , where m is the mass in kilograms kg , and v is the speed at which the object is moving in metres per second m /s . If the kinetic energy of a 2.5 kg object is 1150 J , determine the speed of the object to the nearest tenth of a m/ s . (2 marks) 1 1. An object on the end of a spring vibrates back and forth with simple harmonic motion. The period of vibration of the object, T, measured in seconds, can be represented by T = 2T m k where m represents the mass of the vibrating object in kilograms kg and k represents the spring constant in N / m. Mrs. Cole decides to try bungee jumping. Her position while bungee jumping displays simple harmonic motion. If the period of vibration of her motion is 2.8 s and her mass is 64 kg, determine the spring constant of the bungee cord, rounded to the nearest N / m. (2 marks) End of Assignment