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The curvilinear motion of a particle is defined by v, = 50 – 16t and y =100 – 4t’, where v, is in meters per second, y is in meters, and t is in seconds.It is also known that x = 0 when t – 0. Plot the path of the particle and determine its velocity and acceleration when the position y = 0 is reached.

To plot the path of the particle, we need to find the expression for x in terms of t. We know that the velocity v_x is given by: vx=dxdt=50−16t𝑣𝑥=𝑑𝑥𝑑𝑡=50−16𝑡 Integrating with respect to t, we get: ∫dx=∫(50−16t)dt∫𝑑𝑥=∫(50−16𝑡)𝑑𝑡 x=50t−8t2+C𝑥=50𝑡−8𝑡2+𝐶 Given that x = 0...