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How to solve these three questions of distance of speed? 1. u I u The lower arch of the Sydney Harbour Bridge is 503 metres

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How to solve these three questions of distance of speed?

1.

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u I u The lower arch of the Sydney Harbour Bridge is 503 metres in width and 118 metres high. It is also a parabola. If the zeros of the parabola are at a: = 0 and a: = 503, then the vertex is at the point S . Hence the equation of the parabola is y = l: B- We will use this equation in the next few questions. Note: the Maple syntax for the point [1, 2] is [1 , 2]. The speed of the flaming ball is the rate of change in distance travelled. Hence the speed of the flare at time u seconds is: v(u) = diusfu) = (m'(u))2 + (y'(u))2 . . After 5 seconds the ball is moving at a speed of metres per second (to the nearest integer). n The initial speed of the ball is metres per second (to the nearest integer). Recall the formula for the speed at time u seconds is given by: 12(u) = diusfu) = (m'(u))2 + (y'(u))2. To accommodate even more reworks in the 2023 schedule, the artistic director requires that the ball must now take only 3 seconds to exactly follow the trajectory of the lower arch. Hence the new initial speed is (to the nearest integer): 11(0) = metres per second

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