1. The Voyager 1 spacecraft was launched 45yrs 5 months, 2 days and 4 hours ago (as of 12:00PM February 7th 2023) Voyager I was a distance of 23.85x10'km from the Earth at this time. (a) How many meters had Voyager 1 traveled by February 6th 2023? (30) (b) How many seconds have elapsed since the launch of Voyager 1? (40) (Assume 30 days in an average month.) 2 O (c) Calculate the average velocity of Voyager 1 in m/s. (30)2. Submarine l detects Submarine 2 using sonar at a distance of d=2400m on a bearing of '- 9=35. As shown in the diagram above. (a) How far North is submarine 2 from submarine I? (30) (b) How far East is submarine 2 located from submarine 1? (30) (c) Using your answers to parts (a) and (b) express the position of submarine 2 in unit vector (i, j, k) notation. (20) 3. A ball is thrown from the top of a building with an initial velocity of 20.0 m/s straight upward The ball reaches a height of 50.0m above the ground, just missing the edge of the roof on its way down. (a) Using *=0 as the time the ball leaves the thrower's hand (position A), determine the time at which the ball reaches maximum height (position B). (30) la =0 ty = 20.0 m/s 6,8 -9.80 m/s C A (b) Find ine maximum height of the ball. (30) 50.0 m (Position C)? (20) (c) What will be the velocity of the ball as it returns to the height from which it was thrown4. You are driving home from work in a 1994 powder blue Nissan for 10km at 50km/h, at which point it completely breaks down. It then takes you 45mins to walk the 2.5km home. (Assume you walk and drive in the same direction.) a) What is your total displacement from the beginning of the journey to your arrival home? (25) b) "Sketch ' Two graphs. A 'Displacement: Time' graph and a corresponding 'Velocity: Time' graph for your complete journey. (20) Oc) After the car's engine failed it continued to move for another 20m before coming to rest. How much time did it take for the car to completely stop? (25) d) A tow truck is dispatched to tow your broken down car, its Acceleration: Time graph is given below. 25- 20- Acceleration (ms 0.5 Time (5) "Sketch' a corresponding Velocity: Time (vit) graph for the truck over the 10 second period above. (20)Bonus question below. A car travels 20km due north and then 35km in a direction 60 west of north as show (km) Z 40 B W E 60.0 20 RA BA -20 x (km) (a) Find the magnitude of the car's resultant displacement. (25) (b) Find the direction of the car's resultant displacement. (25)