A particle moves in the xy plane, starting from the origin at t = 0 s with an initial velocity having an x component of 20 m/s and a y component of – 15 m/s. The particle experiences an acceleration in the x direction, given by ā, = 4.0 m/s². Determine the x component of the velocity at t = 2 s.

A particle moving along the x-axis has velocity function v(t) = t³ sin t. How far does the particle travel from time t = 0to t = π?

A computer model displays the motion of a particle on a coordinate system in real time. At time t = 0, the particle is at the origin of the coordinate system and has velocity components vx = 0 and vy = 6.8 m/s. The particle has acceleration components of  ax = −4.8 m/s2  and ay = 0. (a) What are the x and y positions of the particle at t = 4.0 s?(b) What are velocity components of the particle at t = 4.0 s?(c) How does the speed of the particle change from t = 0 to t = 4.0 s?

A computer model displays the motion of a particle on a coordinate system in real time. At time t = 0, the particle is at the origin of the coordinate system and has velocity components vx = 10.0 m/s and vy = 0 m/s. The particle has acceleration components of ax = 0 and ay = 3.0 m/s^2. (a) What are the x and y positions of the particle at t = 6.0 s? (b) What are velocity components of the particle at t = 6.0 s? (c) What is the speed of the particle at t = 6.0 s?

Consider two particles A and B moving with constant acceleration on a plane. At time t=0, particle A is at the origin (x=0,y%=D0) and is moving with initial velocity VA = (30 m/s)î + (40 m/s)j. At time t=0, particle B is at the point (x=20 m, y=0) and is moving with initial velocity Vg = (50 m/s)j. Both particles have the same acceleration å = (-10 m/s²)ĵ 14. What is the magnitude of the average velocity of the particle A during the time interval from t=0 to t=2 s?

A small object moves along the x-axis with acceleration ax(t) = −(0.0320m/s3)(15.0s−t). At t = 0 the object is at x = -14.0 m and has velocity v0x = 4.10 m/s. What is the x-coordinate of the object when t = 10.0 s?

At t = 0 the coordinates of a particle are x = 0, y = 1.98 m. At a time 0.95 s later, its coordinates are x = 3.21 m, y = 4.20 m. Find the components of the particle's average velocity during this time interval. vx =  vy =

A particle travels in a circular path of diameter 2250 cm. It has a constant speed and an acceleration of 20 m/s.(a) What is the magnitude of the speed? (b) How long does it take for the particle to complete one trip around the circular path (its period)?

A computer model displays the motion of a particle on a coordinate system in real time. At time t = 0, the particle is at the origin of the coordinate system and has velocity components vx = 0 and vy = 7.2 m/s. The particle has acceleration components of ax = −3.2 m/s2 and ay = 0.   (a) What are the x and y positions of the particle, in meters, at t = 4.5 s? x = ? m y = ? m   (b) What are velocity components of the particle, in m/s, at t = 4.5 s? vx = ? m/s vy = ? m/s   (c) How does the speed of the particle change from t = 0 to t = 4.5 s? a) The particle's speed remains constant. b) The particle's speed increases and then decreases with time.     c) The particle's speed decreases with time. d) The particle's speed increases with time.

A particle confined to the xy-plane is in uniform circular motion around the origin. The x- and y-coordinates of the particle vary with time as follows: x(t) = r sin(cot) y(t) = r cos(cot). where >= 2.60 m and c = 2.15 s-¹. What are the x- and y-components of the particle's acceleration at an instant when x = 1.00 m and y = 2.40 m. Give your answers by entering numbers into the empty boxes below. ax || || X x² ms ms-2.