


UISCovering mathema+ Question 510 marks This question is based on your work on MU128 up to and in...
Karen and her friends are playing rounders in the park. Jennifer is standing at point J, which is 18 metres due north of point C, where Claire is standing. Sue is standing at point S, 52 east of south of Jennifer and 12.4 metres from where Jennifer is standing. (You may assume that all distances are at and in a straight line.) (a) Draw a diagram showing the points J, C and S, marking in the angle and the lengths...
Question 615 marks You should be able to answer this question after studying Unit 10 At a battle re-enactment, a catapult launches a missile with a speed of 38 ms-, at an angle of 40° to the horizontal. The height from which the projectile is launched is 10m. Set up coordinate axes at the point where the missile leaves the catapult, as shown below 40° 10 m Let i and j be the Cartesian unit vectors in the positive directions...
Question 1 - 20 marks This question is based on your work on MỤ123 up to and including Unit 10. Katie likes to play volleyball. When she serves, the trajectory of the ball after she hits it can be modelled by the quadratic equation 295 where y represents the height in metres of the ball above the ground, and x represents the horizontal distance in metres of the ball from the position where it was struck by Katie. Assume that...
Question 5 15 marks You should be able to answer this question after studying Unit 10 A crate, initially at rest, is pushed along a straight line up a rough ramp that makes an angle of 18° with the horizontal. The magnitude of the pushing force is 33 N, in a direction parallel to and up the ramp, and the acceleration of the crate is 0.16 ms-2. The coefficient of sliding friction between the crate and the ramp is 0.35....
uestion 6 20 marks You should be able to answer this question after studying Unit 5 A mountain rescue team is preparing to move a stretcher (with an injured climber) down a flat slope. The combined mass of the climber and stretcher is 110 kg, and the slope makes an angle of 15° with the horizontal. The stretcher is held at rest by a rope that makes an angle of 20° with the upward slope. The stretcher is on the...
6. An astronaut ona distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of +15 m/s and measures a time of 20.0 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet? See Diagram below: 20.0s v,15 m/s Show your work below: 7. Problem using vectors: A sailboat sails for 1 hr at 4 km/hr (relative to the...
mperial Valley College PROJECT #3 You may work in groups of up to 4 students. Each group turns in one homework, wnitten on separate paper e,aat in tiny writing on this sheetl with llwri and all stens shoan doack All students in each group recee the same grade This assignment is due ot the begrring 덱 dass on"huidey July 27 (day of Find Exon This project is worth o total f 40points Homework will be graded not only on correctness,...
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B. Describe what happens at a point on the surface of the water where: • a crest meets a crest . . a trough meets a trough a crest meets a trough For each of the above cases, describe how your answer would differ if the amplitudes of the two waves were not equal. Explain your reasoning. If the waves from two identical sources travel different distances to reach a particular point, the amplitudes of the waves from...
1 L, as a dynamical system (Notes from Assignment #2) We take our definition of dynamical system to be an "object" along with a specific set of modifications that can be performed (dynamically) upon this object. In this case, the object is a bi-infinite straight road with a lamp post at every street corner and a marked lamp (the position of the lamplighter). There are two possible types of modifications: the lamplighter can walk any distance in either direction from...