Position of a particle moving along the x-axis varies in time according to the following expression x(t) = (-20 )t* +(8.0")t What is its velocity at t=2.0 s? O- 6.0 m/s O- 24 m/s O 2.0 m/s O 16 m/s O- 32 m/s O -2.0 m/s 4.0 m/s O- 16 m/s

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…

What is her velocity at 15 s?

Time Position Velocity 0 0   0.05 0.08 1.6 0.1 0.17 1.7 0.15 0.26 1.73333333 0.2 0.35 1.75 0.25 0.459 1.836 0.3 0.59 1.96666667 0.35 0.73 2.08571429 0.38 0.9144 2.40631579   Velocity vs time What is the acceleration of the ball independently for each component of the motion as a function of time? What is the acceleration of the ball for:             When it is thrown             When it is caught/lands Magnitude at its highest point?   What are the Launch Velocity and velocity of the highest point for the velocity vs time graph?             Is this value reasonable?