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23.

23. || The position of a particle as a function of time is given by (m 3" = (5.0? + 4.03):2 m, where tis in seconds. a. What is the particle's distance from the origin at t = O, 2, and 5 s? b. Find an expression for the particle's velocity 1" as a function of time. c. What is the particle's speed at I = 0, 2,_ and 55? 27. || Find a vector that points in the same direction as the vector (3 + f) and whose magnitude is l. 29. || The minute hand on a watch is 2.0 cm in length. What is the displacement vector of the tip of the minute hand a. From 8:00 to 8:20 AM]? b. From 8:00 to 9:00 A.M.? 35. | A pine cone falls straight down from a pine tree growing on a 20 slope. The pine cone hits the ground with a speed of 10 mfs. What is the component of the pine cone's impact velocity (21) parallel to the ground and (b) perpendicular to the ground? 37. || Dee is on a swing in the playground. The chains are 2.5 m long, and the tension in each chain is 450 N when Dee is 55 cm above the lowest point of her swing. Tension is a vector directed along the chain, measured in newtons, abbreviated N. What are the horizon- tal and vertical components of the tension at this point in the swing