First, we determine the position of the particx(t1) = x(2) = 2(2²) + 4 =x(t2) = x(4) = 2(4²) + 4 = 36mCompute the average speed in the given time interval:x(t2) - x(t1)36 12 24Vavet2 -t14 212 m/s2EvaluateTime Duration: 1 hour)Direction: Solve the following problems. Place your solution in a short bondрaper.1. An object moves along the x-axis according to the law s =-는+2t2-1,16where s is in meters, t is in seconds.a. Find time t when the acceleration is zero;b. Calculate the object's velocity at this instant.t32. The motion of a particle is given by the equation s = 2t*-+ 2t? where s isin feet and t is in seconds. Compute the values ofv and a whent 2 sec.163. A particles moves in a straight line according to the law s = t3 - 40t wheres is in feet and t is in seconds.a. When t 5 sec, compute the velocity?b. Find the average velocity during the fourth second?C. When the particle again comes to rest, what is its acceleration?

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Answered: 1. An object moves along the x-axis…

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1. An object moves along the x-axis according to the law s= + 2t2 – 1, 16 where s is in meters, t is in seconds. a. Find time t when the acceleration is zero; b. Calculate the object's velocity at this instant.