A particle initially located at the origin has an initial velocity of vi = 30.0 î m/s + 50.0 ĵ m/s. If the velocity of the particle at t = 5.0 s is v = 12.0 î m/s + 60.0 ĵ m/s, what is the particle's acceleration (in m/s2)? (Express your answer in vector form.)
A particle initially located at the origin has an initial velocity of vi = 30.0 î...
A particle initially located at the origin has an acceleration of vector a = 2.00ĵ m/s2 and an initial velocity of vector v i = 6.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( t î + t2 ĵ) m (b) Find the velocity of the particle at any time t. ( î + t ĵ) m/s (c) Find the coordinates of the particle at t = 3.00...
A particle initially located at the origin has an acceleration of vector a = 4.00ĵ m/s2 and an initial velocity of vector v i = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( t î + t2 ĵ) m (b) Find the velocity of the particle at any time t. ( î + t ĵ) m/s (c) Find the coordinates of the particle at t = 9.00...
4. -14 points SerPSE9 4.P006.W A particle initially located at the origin has an acceleration of a 1.00j m/s2 and an initial velocity of V, 8.001 m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). t2 1) m tl+ (b) Find the velocity of the particle at any time t. t 1) m/s (c) Find the coordinates of the particle at t 5.00 s. (d) Find the speed of the...
This is a continuation of the prior problem with new numbers A particle initially located at the origin has an acceleration of a. 2.00j m/s2 and an initial velocity of vi 8.00i m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). (ti) m (b) Find the velocity of the particle at any time t. (c) Find the coordinates of the particle at t- 6.00 s Y- (d) Find the speed...
A 1.30-kg particle moves in the xy plane with a velocity of = (4.10 î − 3.80 ĵ) m/s. Determine the angular momentum of the particle about the origin when its position vector is = (1.50 î + 2.20 ĵ) m.
The vector position of a particle varies in time according to the expression r with arrow = 7.40 î − 5.00t2 ĵ where r with arrow is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) v with arrow = m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol...
A particle leaves the origin with an initial velocity v⃗ =(2.40m/s)x^, and moves with constant acceleration a⃗ =(−1.90m/s2)x^+(3.20m/s2)y^. How far does the particle move in the x direction before turning around? What is the particle's velocity at this time? Calculate the particle's position at t = 0.500 s, 1.00 s, 1.50 s, and 2.00 s. Use these results to sketch x and y positions versus time for the particle.
A 1.96-kg particle has a velocity (2.08 î − 3.07 ĵ) m/s, and a 3.05-kg particle has a velocity (1.08 î + 5.96 ĵ) m/s. (a) Find the velocity of the center of mass. (b) Find the total momentum of the system.
A particle leaves the origin with an initial velocity = (6.93) = 6.931 m/s and a constant acceleration (-- - 4.601 – 1.87j m/s2 When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector? (a) Number Units (b) Number + Units
At time t = 0, a 4.0 kg particle with velocity v = (5.0 m/s) i - (6.0 m/s) j is at x = 6.0 m, y = 5.0 m. It is pulled by a 2.0 N force in the negative x direction. What is the angular momentum of the particle about the origin? (Express your answer in vector form.) What torque about the origin acts on the particle? (Express your answer in vector form.) At what rate is the...