The position of a particle moving along the x axis is given in centimeters by x = 9.38 + 1.72 t3, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity att = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the instantaneous velocity when the particle is midway between its positions at t = 2.00 s and t = 3.00 s. (a) Number i Units (b) Number i Units (c) Number i Units > >

A particle's velocity is given by vlt) = -atj, where a = 0.725 m/s? is a constant. (a) Describe the particle's motion. In particular, is it speeding up, slowing down, or maintaining constant speed? speeding up slowing down O maintaining constant speed (b) Find the particle's velocity at t- 0, t= 17.5 s, and t- 6.40 min. (Express your answer in vector form.) vy-0 at t-0 m/s at t- 17.5 S m/s at t-6.40 min -278.4 m/s

A particle moves in one dimension, and its position as a function of time is given by x = (2.2 m/s)t + (−3.2 m/s2)t2. (a) What is the particle's average velocity (in m/s) from t = 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.) Average velocity is the change in position over change in time. Think about how to use the function to find the change in position. m/s (b) What is the particle's average velocity (in m/s) from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.) m/s

A particle moves in one dimension, and its position as a function of time is given by  x = (2.1 m/s)t + (−3.0 m/s2)t2.   (a) What is the particle's average velocity from t = 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.)(b) What is the particle's average velocity from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.)