A child of mass 34 kg sits on a wooden horse on a carousel. The wooden horse is 3.4 m from the center of the carousel, which rotates at a constant rate and completes one revolution every 7.3 seconds.

(1) What are the magnitude and direction of (d|p|/dt)*p the parallel component of dp/dt for the child?

Then is it:

a. tangential, in direction of velocity

b. tangential, opposite direction of velocity

c. radial, outward

d. radial, inward

e. magnitude is zero, so direction is undefined

(2) What are the magnitude and direction of |p|*(dp/dt) the perpendicular component of dp/dt for the child?

Then is it:

a. tangential, in direction of velocity

b. tangential, opposite direction of velocity

c. radial, outward

d. radial, inward

e. magnitude is zero, so direction is undefined

(3) What are the magnitude and direction of the net force acting on the child?

Then is it:

a. tangential, in direction of velocity

b. tangential, opposite direction of velocity

c. radial, outward

d. radial, inward

e. magnitude is zero, so direction is undefined

(4) What objects in the surroundings contribute to this horizontal net force acting on the child? (There are also vertical forces, but these cancel each other if the horse doesn't move up and down. Select all that apply.)

a. The wooden horse

b. The centrifugal force

c. The child

In september, lee ran in the run rabbit run 50 mile race in steamboat. the race is an out-and-back course, meaning that you start and run out from the base of steamboat ski resort up to rabbit ears, and then turn around and retrace your path to the finish. the table below provides the timed splits through the various aid stations along the course. time aid state (distance traveled from start) 0: 00: 00 start (0 miles) 1: 21: 51 mount werner aid station (6.4 miles) 2: 22: 52 long lake aid station (13.2 miles) 3: 34: 36 base camp trailhead aid station (18.4 miles) 4: 05: 34 dumont aid station (22.3 miles) 4: 45: 25 rabbit ears (25 miles) 5: 13: 17 dumont aid station (27.7 miles) 6: 02: 43 base camp trailhead aid station (31.6 miles) 7: 07: 11 long lake aid station (36.8 miles) 8: 41: 37 mount werner aid station (43.6 miles) 9: 29: 13 finish (50 miles) (a) explain if the table represents a function. if it does not, provide evidence supporting that it is not a function. if it is a function, describe the relationship between the independent variable and dependent variable in this scenario. (b) construct a graph that depicts the relationship between time and the total distance traveled in the race. (c) construct a graph that depicts the relationship between time and displacement from start/finish (relative distance to start/finish). (d) construct a graph that depicts the relationship between time and lee’s speed running. (e) what can we infer about lee’s speed at time 4: 05: 34? explain your reasoning.