QUESTION 1 a) State the use of dimensional analysis. (1 mark) b) The velocity, v of an object is given by the equation v"= 4 + Ex where A and B are the constants and x is a variable. Determine the dimension for the term Bx? (2 marks) c) During a relay race, runner A runs with a baton due north for a distance 80 m and hands off the baton to runner B, who runs for the same distance in a direction 35" south of east. Sketch the resultant displacement of the baton. (2 marks) ii. Find the magnitude and direction of the resultant displacement of the baton. (5 marks) ili, If the race distance of both runners is doubled, what is the direction of the resultant displacement of the baton? (1 mark) QUESTION 2 a) Electrons move through a certain electric circuit at an average speed of 7.8 x 10" m/s. Calculate the time taken for an electron to transverse across 0.08 m of filament to light a bulb? (2 marks) b) A camera is suddenly detached from a drone which is moving horizontally at 60 km/h at a height of 80 m from the ground as shown in Figure 1. [Ignore air and wind resistance]. 60 km/h 80 m: Figure 1 i) Calculate the time taken for the camera to reach the ground. (3 marks) Find the horizontal distance travelled by the camera. (3 marks) Determine the vertical component of the camera's velocity just before it reaches the ground. (2 marks) iv) At what angle does the camera reach the ground? (2 marks) c) If a ball is thrown into the air and follows a parabolic path, does the magnitude of the ball's velocity at impact greater than, less than or equal to the magnitude of the initial velocity? Explain. (2 marks)