twelfth grade physics two-dimensional motion, you may omit #1. please show your work, thank you!

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Two-dimensional Motion 1. A projectile is launched at an angle with the horizontal. Is there any point on the projectile's trajectory where the projectile's velocity and acceleration are perpendicular? Explain. A secret agent straps on his rocket boots to escape the henchmen of an evil enemy. The boots propel him straight up with a constant velocity of 8.5 mls. When he is 17.0 m above the ground, he throws a container of microﬁlm horizontally at 7.0 mls. a) How long will it take the container to reach the ground? b) How far away from the agent's starting point will the container land? [Hints: You will need to use the quadratic equation. The answer to (b) is between 17 m and 25 m.] Matthew pitches a baseball toward Fizzicks who hits the ball at 25.0 mls at an angle of 58.0" with the ground. Hamilton runs in from the outfield at 4.00 m/s and catches the ball at the same height at which it was hit. How far apart were Fizzicks and Hamilton before the ball was hit? [Hint: The original distance separating Fizzicks and Hamilton is between 72.0 m and 79.0 m.] A small ball is fastened to a 24 cm long string suspended from a ﬁxed point. If the ball moves in a circular path as shown in the diagram and the string makes an angle of 15° with the vertical, find the speed of the ball. [Hints: Fnet equations for the ball will be useful. The speed of the ball is between 0.37 mls and 0.45 mls.] 1 mark 2 marks 1 mark 3 marks 3 marks

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