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 = 1.50 m, c = 0.118 m/s2, and d = 1.02 m.
Suppose that the position vector for a particle is given as a function of time by...
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...
Suppose that the position vector for a particle is given as a function of time by (t) = x(t)î + y(t)ĵ, with x(t) = at + b and y(t) = ct2 + d, where a = 1.40 m/s, b = 1.50 m, c = 0.121 m/s2, and d = 1.18 m. (a) Calculate the average velocity during the time interval from t = 2.10 s to t = 3.90 s. = m/s (b) Determine the velocity at t = 2.10...
Suppose that the position vector for a particle is given as a function of time by r(t) = x(t)1 + y(t)j, with x(t)-at + b and y(t)-ct2 + d, where a-1.90 m/s, b-1.40 m, c 0.130 m/s2, and d 1.08 m. (a) Calculate the average velocity during the time interval from t2.20 s to t3.85s m/s (b) Determine the velocity at t- 2.20 s. m/s Determine the speed at t2.20 s. m/s
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...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r 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.) 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 velocity...
Suppose the position vector for a particle is given as a function of time by r(t) = x(t)i + y(t)j, with x(t) = at + b and y(t) = ct + d, where a - 1.70 m/s, b = 1.50 m, c = 0.116 m/s, and d = 1.04 m. (a) Calculate the average velocity during the time interval from t = 2.05 s to t = 4.05 s. m/s (b) Determine the velocity at t = 2.05 s. m/s...
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...
Suppose the position vector for a particle is given as a function of time by r(t)-x(t)¡ + y(t), with x(t)-at + b and yte cd, where a 1.50 m/s, b - 1.35 m, c0.130 m/s2, and d -1.14 m. (a) Calculate the average velocity during the time interval from t = 1.90 s to t = 4.05 s. 0.097 X m/s (b) Determine the velocity at t 1.90 s. -|-1.006 | X m/s Determine the speed at t 1.90 s...
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...