The position versus time for a certain particle moving along the x axis is shown in the figure below. Find the average velocity:r in the following time intervals. {a} U to 2 3 m/s (b) 0 to 4 3 m/s (C) 3 to 6 s m/S (d) 2 to 7 3 m/s (e) O to 7 5 m/s An object moves along the x axis according to the equation x = 3.80t- - 2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t = 1.70 s and t = 2.80 s. m/s (b) Determine the instantaneous speed at t = 1.70 s. m/s Determine the instantaneous speed at t = 2.80 s. m/s (c) Determine the average acceleration between t = 1.70 s and t = 2.80 s. m/s2 (d) Determine the instantaneous acceleration at t = 1.70 s. m/$2 Determine the instantaneous acceleration at t = 2.80 s. m/$2 (@) At what time is the object at rest? SA truck covers 33.0 m in 8.00 s while smoothly slowing down to final speed of 2.10 m/s. (a) Find its original speed. m/s (b) Find its acceleration. (Indicate the direction of the acceleration with the sign of your answer.) m/s2 Need Help? Read It Watch It [-/16.66 Points] DETAILS SERPSE10 2.8.OP.026. A ball is thrown directly downward with an initial speed of 8.60 m/s from a height of 30.6 m. After what time interval does it strike the ground? Need Help? Read It Watch It [-/16.66 Points] DETAILS SERPSE10 2.5.OP.011.MI. A particle moves along the x axis according to the equation x = 2.05 + 2.98t - 1.00t , where x is in meters and t is in seconds. (a) Find the position of the particle at t = 2.90 s. m (b) Find its velocity at t = 2.90 s. m/s c) Find its acceleration at t = 2.90 s. m/s2(a) The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with acceleration of -5.35 m/s for 4.15 s, making straight skid marks 64.6 m long, all the way to the tree. With what speed (in m/s) does the car then strike the tree? m/s (b) What If? If the car has the same initial velocity, and if the driver slams on the brakes at the same distance from the tree, then what would the acceleration need to be (in m/s ) so that the car narrowly avoids a collision? m /s 2