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At time t = 0, a particle is projected vertically upwards with speed u m s–1 from a point 10 m above the ground. At time T seconds, the particle hits the ground with speed 17.5 m s–1. Find the value of u and T and evaluate the model. (AS mechanics)


What is the signed area between the curve y = x^2 - 4 and the x-axis?


What is the definite integral of 2x^2 + 4x + 1 with a lower limit of 3 and a higher limit of 6?


Find the first 4 term of the binomial expansion (2-4x)^5