Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ā = 2î" s2 4) and an initial velocity of v¡ = 6.00 i " . Find |(a) the vector position of the particle at any time t, |(b) the velocity of the particle at any time t, |(c) the coordinates of the particle at t = 3.00 s
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- At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi=(3.00i2.00j)m/s and is at the origin. At t = 3.00 s, the particles velocity is vf=(9.00i+7.00j)m/s. Find (a) the acceleration of the particle and (b) its coordinates at any time t.A particle initially located at the origin has an acceleration of = 1.00ĵ m/s2 and an initial velocity of i = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). (b) Find the velocity of the particle at any time t. (c) Find the coordinates of the particle at t = 3.00 s. (d) Find the speed of the particle at t = 3.00 s.Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ?⃑ = 2?̂??2 −4?̂??2and an initial velocity of ?⃑? = 6.00 ?̂??. Find(a) the vector position of the particle at any time t,(b) the velocity of the particle at any time t,(c) the coordinates of the particle at t = 3.00 s
- Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ? ⃑ = 2?̂? ?2−4?̂? ?2and an initial velocity of ? ⃑? = 6.00 ?̂ ? ?. Find (a) the vector position of the particle at any time t, (b) the velocity of the particle at any time t, (c) the coordinates of the particle at t = 3.00 sThe positionr→of a particle moving in an xy plane is given byr→=(5.00t3−6.00t)i^+(2.00−2.00t4)j^withr→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 range of (-180o; 180o).A particle initially located at the origin has an acceleration of = 2.00ĵ m/s2 and an initial velocity of 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 = 5.00 s.x = my = m(d) Find the speed of the particle at t = 5.00 s. m/s
- A particle initially located at the origin has an acceleration of = 4.00ĵ m/s2 and an initial velocity of 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 = 7.00 s.x = my = m(d) Find the speed of the particle at t = 7.00 s.m/sA particle initially located at the origin has an acceleration of a⃗ = 3.0ĵm/s2 and an initial velocity of vi = 500îm/s Find (a) the vector position and velocity at any time t and (b) the coordinates and speed of the particle at t = 2.00 s.From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.60 m/s and angle of 18.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0.) xi = 0 yi = γ0 (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi,x = m/s vi,y = m/s (c) Find the equations for the x- and y- components of the position as functions of time. (Use the following as necessary: y0 and t. Let the variable t be measured in seconds.) x = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? m(e) Find the height from which the ball was thrown. m(f) How long does it take the ball to reach a point 10.0…
- An electron’s position is given by ,with t in seconds and in meters. (a) In unit-vector notation, whatis the electron’s velocity ? At t 2.00 s, what is (b) in unit-vector notation and as (c) a magnitude and (d) an angle relative tothe positive direction of the x axis?A tennis player hits a ball into the air with an initial velocity of 15 m/s at an angle of 50° to the horizontal. Assume no air resistance and acceleration due to gravity has a magnitude 9.81 m/s2 2) what is the magnitude and direction (+ or -) of the ball’s horizontal velocity, vx, in m/s after 1 second?A projectile is launched from ground level to the top of a cliff which is 195 m away and 155 m high. If the projectile lands on top of the cliff 7.6 s later it is fired, find the magnitude and direction of the initial velocity of the projectile.