Chapter 2, Problem 6Q

A particle moving with an initial velocity v, = (10m/s)î and initial position 7, = (4m)î + (2m)j, undergoes an acceleration ở = 2t²î + 4ĵ in SI units. For t = 10 s; a) Calculate the velcoity v= vxI+ vy®. b) Calculate the position r= x+ y. c) What are the magnitudes of the velocity and the position vector of the particle? d) Find also the angle each vector is making with the x-axis at that time.

A particle starts from the origin at t = 0 with a velocity of 5.4j and moves in the xy plane with a constant acceleration of (4.6i + 1.0j) m/s 2. At the instant the particle's x coordinate is 29 m, what are (a) its y coordinate and (b) its speed? (a) Number Units (b) Number i Units

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 v₁ = 0 and "x Vy = 6.8 m/s. The particle has acceleration components of ax = -3.2 m/s² and = 0. ay (a) What are the x and y positions of the particle, in meters, at t = 4.0 s? X = y = Vx Vy m (b) What are velocity components of the particle, in m/s, at t = 4.0 s? m/s m/s = m (c) How does the speed of the particle change from t = 0 to t = 4.0 s? O The particle's speed remains constant. O The particle's speed decreases with time. O The particle's speed increases and then decreases with time. O The particle's speed increases with time.