'1. An object is moving in a straight line. The object's displacement, in metres, from a fixed point is given by slit III = 2t" 15:2 + 24: + S, where t 2 and r is in seconds. a. Find the velocity and acceleration at an}.r time :. id. Determine the turning pointis} of the object. 2. A particle is moving in a straight line. Its position, in metres, from a fixed point is given by xi! II = 3: I , where :1: and r is in seconds. Determine the acceleration of the particle 1when its velocity is %mis 3. The position function ofa particle is given, in metres. as .rtr] =14 10:; + 3E}:2 + 1t]! + 12. where r 3: t] and r is in seconds. Find the intervals for which the acceleration of the particle is positive and negative. (23 4. The relation between the velocitv and displacement of an object is given by 51;2 = 4m- + l, where .5 is the displacement from a fixed point, in metres, and p is the velocityr of a moving object, in metres per second. Find the acceleration of the object. 5. An object is moving in a straight line. The object's displacement, in metres, from a fixed point is given by all: i = 2r: 4:1 + or + 4, where r 2 and t is in seconds. Determine the acceleration of the object when the velocityI is 2 rat's. 6. The velocityI wit 1 of an object travelling in a straight line is given by vi! II = 3r 24f, where r 2 and r is in seconds. Find the position function 51:! III of the object if 51:: III = 2 when r = 2. (E) T. A ball is tossed upward from the too of s tower, located 50 n1 above the ground. If the ball has an initial velocity of 15 mr's, hotll.r long will it take to hit the ground?I Assume all: } = 1i] mfsz