The position of a particle moving along the x axis is given in centimeters by x = 9.70 + 1.53 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 at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 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.)

The position of a particle moving along the x axis depends on the time according to the equation x = ct - btº, where x is in meters and t in seconds. Let c and b have numerical values 2.5 m/s4 and 1.2 m/s³, respectively. From t = 0.0 s tot = 2.5 s, Find its velocity at times (b) 1.O s, (c) 2.0 s, (d) 3.0 s, and (e) 4.0 s. Find its acceleration at (i) 4.0 s.

A graph of position versus time for a certain particle moving along the x-axis is shown in the figure below. Find the average velocity in the following time intervals. x (m) 6 M 4 2 0 t(s) 1 2 3 4 5 6 7 8 -2 10 8 (a) 0 to 2.00 s (b) 0 to 4.00 s m/s m/s (c) 2.00 s to 4.00 s m/s (e) 0 to 8.00 s (d) 4.00 s to 7.00 s m/s m/s

An object moves in a plane from position r1=(-1,-2) m to the position r2=(-2,7 m and then to r3=(3,8)m. The time of the motion is t=30s. Find (a) total displacement; (b) distance between the initial and final positions; (c)distance travelled (d)average velocity and average speed

The position of a particle moving along the x axis is given in centimeters by x = 9.88 + 1.40 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 at t = 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.

The motion of a particle is defined by the relation x= t^2- (t ^2-2)^3, where x and t are expressed in feet and seconds, respectively. Determine (a) the two positions at which the velocity is zero (b) the total distance traveled by the particle from t 5 0 to t 5 4 s.

Compute your average velocity in the following two cases: (a) You walk 64.0 m at a speed of 1.28 m/s and then run 64.0 m at a speed of 3.98 m/s along a straight track. (b) You walk for 1.00 min at a speed of 1.28 m/s and then run for 1.39 min at 3.98 m/s along a straight track.

The position of a particle moving along the x axis is given in centimeters by x = 9.72 + 1.62 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 at t = 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 (b) Number (c) Number (d) Number (e) Number MO Units Units Units Units Units ◄►

The position of a particle moving along the x axis is given in centimeters by x =9.75 + 1.50t3, 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 at t  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. (f) Graph x versus t and indicate your answers graphically.