Answer all parts (a−g) of Question 1 in this section. 1. Each part of this question is worth 4 marks. Allow approximatel

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Answer All Parts A G Of Question 1 In This Section 1 Each Part Of This Question Is Worth 4 Marks Allow Approximatel 1 (1.75 MiB) Viewed 31 times

Answer all parts (a−g) of Question 1 in this section. 1. Each part of this question is worth 4 marks. Allow approximately 52 minutes for this question. a) The position of an object is given by the function r(t)=−3.25t+0.550t3, where r is measured in metres and t in seconds. Write a function for the object's velocity and use this function to calculate the object's velocity at t=5 seconds. (b) A person driving a car up a 8∘ slope brakes suddenly and the car begins to skid up the slope. The mass of the car is 1050 kg and the coefficient of kinetic friction between the wheels and the surface is 0.35. Assume that the car was heading straight up the slope when the skid began. What is the magnitude of the (along-slope) acceleration experienced by the car? (c) A 6.000 m long column with a rectangular cross-section measuring 80 mm by 60 mm is shortened by 1.5 mm along its long axis when a load is applied to it. Young's modulus for the column is 207,000 N mm−2 and its yield stress is 180 N mm−2. Calculate the magnitude of the applied load. (d) Describe a situation where you would choose to use the Darcy-Weisbach equation in preference to using a Wallingford Chart when designing a pipeline that contains water flowing under pressure. (e) Explain, with the aid of a sketch, how a Venturi meter can be used to calculate the volumetric flow rate of water flowing in a pressurised pipeline. (I) Answer both sub-parts. i) Explain, with the aid of a sketch, why thrust blocks are often required on the outer side of a bend in a pressurised water supply pipe. ii) Why can the water's change of momentum as it passes through the bend be ignored when calculating the required size of the thrust block? (8) Discuss how an analysis of past rainfall records plays an important part in constructing standard storm profiles for a particular region of Aotearoa New Zealand, but does not provide all of the necessary information due to the effects of climate change.