A vehicle is at position metres at

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A vehicle is at position x0x_0 metres at t=0t=0. It first moves through a displacement d1=4a−3d_1 = 4a - 3 metres and then through a second displacement d2=2a+5d_2 = 2a + 5 metres, where aa is a positive constant. (i) Derive an expression for its final position xfx_f in terms of x0x_0 and aa. (ii) Calculate xfx_f when x0=6 mx_0 = 6\,\text{m} and a=3a = 3.

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