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 s. x = _____m y = _____m
(d) Find the speed of the particle at t = 9.00 s. m/s
A particle initially located at the origin has an acceleration of vector a = 4.00ĵ m/s2...
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...
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...
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.)
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...
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...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.60 s, the particle's velocity is vector v = (8.90 i + 7.70 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.70 s, the particle's velocity is vector v = (7.40 i + 6.90 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
The vector position of a particle varies in time according to the expression - 6.20 - 9.00-2, where † 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 varlable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and...
Suppose that the position vector for a particle is given as a function of time by vector r (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 2.00 m/s, b = 1.20 m, c = 0.121 m/s2, and d = 1.20 m. (a) Calculate the average velocity during the time interval from t = 2.05 s to t = 3.90 s. vector v = m/s (b) Determine the velocity...
The position vector of a particle of mass 2.10 kg as a function of time is given by r with arrow = (6.00 î + 5.80 t ĵ), where r with arrow is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time. k kg · m2/s 6.00 і + 5.80 tj. where r ıs in meters and t is in seconds. Determine the angular momentum of the...