The position ModifyingAbove r With right-arrow of a particle moving in an xy plane is given by ModifyingAbove r With right-arrow equals left-parenthesis 4 t cubed minus 3 t right-parenthesis ModifyingAbove i With caret plus left-parenthesis 6 minus 2 t Superscript 4 Baseline right-parenthesis ModifyingAbove j With caret with ModifyingAbove r With right-arrow in meters and t in seconds.
In unit-vector notation, calculate
(a)ModifyingAbove r With right-arrow,
(b)v Overscript right-arrow EndScripts, and
(c)a Overscript right-arrow EndScripts for t = 2 s.
(d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2 s? Give your answer in the range of (-180o; 180o).
The position ModifyingAbove r With right-arrow of a particle moving in an xy plane is given...
The position ModifyingAbove r With right-arrow of a particle moving in an xy plane is given by ModifyingAbove r With right-arrow equals left-parenthesis 3.00 t cubed minus 4.00 t right-parenthesis ModifyingAbove i With caret plus left-parenthesis 5.00 minus 1.00 t Superscript 4 Baseline right-parenthesis ModifyingAbove j With caret with ModifyingAbove r With right-arrow in meters and t in seconds. In unit-vector notation, calculate (a)ModifyingAbove r With right-arrow, (b)v Overscript right-arrow EndScripts, and (c)a Overscript right-arrow EndScripts for t = 3.00...
The position r of a particle moving in an xy plane is given by r = (4.00t^3 - 4.00t) i + (4.00 - 1.00t^4) j with r in meters and t in seconds. In unit-vector notation, calculate (a) r, (b) V, and (c) a for t = 2.00 s, (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2.00 s? Give your answer in the...
The position T of a particle moving in an xy plane is given by (3.006.00(3.00 1.00r with in meters and t in seconds. In unit-vector notation, calculate (a) r, (b) v, and (c) a fort 3.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t- 3.00 s? Give your answer in the range of (-180°; 180°) (a) Number (b) Number (c) Number (d) Number j...
The position vector for an electron is r Overscript right-arrow EndScripts equals left-parenthesis 4.7 m right-parenthesis i Overscript ? EndScripts minus left-parenthesis 8.5 m right-parenthesis j Overscript ? EndScripts plus left-parenthesis 8.6 m right-parenthesis k Overscript ? EndScripts. Find the magnitude of r Overscript right-arrow EndScripts. The position vector for an electron is 4.7m- 18.5 m 7 mi 8.5 m8.6 m 8.6 m k. Find the magnitude of r Numbe UnitšT nm the tolerance is +/-1 in the 2nd significant...
A particle leaves the origin with an initial velocity v Overscript right-arrow EndScripts equals left-parenthesis 8.47 i Overscript ̂ EndScripts right-parenthesis m divided by s and a constant acceleration a Overscript right-arrow EndScripts equals left-parenthesis negative 1.24 i Overscript ̂ EndScripts minus 4.99 j Overscript ̂ EndScripts right-parenthesis m divided by s Superscript 2. When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector?
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...
please i need help asap Problem 1 The acceleration of a particle moving only on a horizontal xy plane is given by a=3ti+4tj, where a is in meters per seconds squared and t is in seconds, at t=0, the position vector r=(20.0m)i+(40.0m)j locates the particles, which then has the velocity vector v=(5.00m/s)i+(2.00m's)j. at t=4.00s, what are (a) its position vector in unit-vector notation and (b) the angle between its direction of travel and the positive direction of the x axis?...
The vector position of a 3.55 g particle moving in the xy plane varies in time according to r1 = (3î + 3ĵ)t + 2ĵt2 where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.80 g particle varies as r2 = 3î − 2ît2 − 6ĵt. (a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s. b) Determine the linear...
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)...