#10) Use the below graph of x-position as a function time to answer questions (A - D): X-Position (m) 4 2 -1 -2 -3 x-Position as a function of Time 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4 Time (s) (A) What is the average velocity for the object in the x-direction between t = 0.75 s and t = 3.5 (report your answer to 3 sig figs) (B) Draw a solid line on the graph that supports the above calculation done in part (A). Turn this sh in with this line drawn on it. (C) Graphically determine what is the best determination for the instantaneous velocity for the obj at t = 1.00 seconds (report your answer to 3 sig figs). (D) Draw a dashed line on the graph that supports the above calculation done in part (C). Turn sheet in with this line drawn on it.

A race car moves such that its position fits the relationship x-(4.5 m/s)t + (0.80 m/s³³ where x is measured in meters and in seconds. (a) A plot of the car's position versus time is which of the following? برسا 100- O x(m) 90 80 70 60 30 30 20 10 O x(m) 240 220 200 180 160 140 1201 100 80 60 200 180 160 140 120 EL 100 80 40 20 t(s) 40 1.00 2.00 20 t(s) 3.00 4.00 5.00 6.00 1.00 2.00 3.00 4.00 5.00 x(m) 6.00 30 25 20 15 10 5 x(m) t(s) 1.00 2.00 3.00 4.00 5.00 6.00 220 t(s) 1.00 2.00 3.00 4.00 5.00 6.00 (b) Determine the instantaneous velocity of the car at t-4.4 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to better see the limiting process keep at least three decimal places in your answer.) At-0.40 s m/s (Use the interval from t-4.20 sto 4.60 s.) At -0.20 s m/s (Use the interval from t-4.30 sto 4.50 s.) At - 0.10 s m/s (Use the interval from t-4.35 sto 4.45 s.) (c) Compare the average velocity during the first 4.4 s with the results of part (b). The average velocity…

2- A) Estimate how long it took King Kong to fall straight down from the top of the building (475 mm high). Express your answer to three significant figures and include the appropriate units. B) Estimate his speed just before "landing."

The following equations give the x component of the position for four objects as functions of time: object 1: x(t) = a, where a = 5 m object 2: x(t) = bt+c, where b = +4 m/s and c = : −1 m object 3: x(t) = et² + ft, where e = +5 m/s² and f = -9 m/s object 4: x(t) = gt² + h, where g = −3 m/s² and h = +12 m. (a) Which objects have a velocity that changes with time? (b) Which object is at the origin at the earliest instant, and what is that instant? (c) What is that object's velocity 1 s after the instant you calculated in part b?