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General Direction: Read and analyze the following questions and answer them very carefully. Show your step-by-step solution and box your final answer. Use three decimal places for all computation. 1. Solve for the Resultant vector using component and polygon method of the vectors below. a. 50 N N30'E b. 30 N W15'S c. 28 N $35 W 2. Solve the Resultant of the vectors in a. and b. in number 1 using parallelogram method. 3. Multiply the Following Vectors using, a. Dot Product method. W = F . F b. Cross Product method. W = F x F F = (5i + 3j - 8 k) N F = (21 - 4j - 5k) m 4. If a particles position is given by the expression x(t) = 3.4t3 - 5.4t, What is the acceleration of the particle after 5 seconds? 5. Determine the velocity and acceleration of progress with the given equation: t2 D = t+ 1 When t=5 seconds. 6. A particle moves along the x-axis. The function v(t) gives the particle's velocity at any time t > 0: Assume x to be in meters and t to be in seconds. v(t) = ts + 15t3 + 20 Find: a. The velocity of the particle at t = 2s. b. The acceleration of the particle at t =2s c. At t=3, is the particle speeding up, slowing down, or neither