Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ? ⃑ = 2?̂ ? ?2 − 4?̂ ? ?2 and 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

Engineering dynamics. Don't use Artificial intelligence tools.

i have a question with problem 7

6. A particle moving in space. Its position vector is given by: ř = (21° + 41 )î +(3+ 21 –t²)ĵ . Find: a- The displacement of the particle between t =0 s and 1 = 3 s? b- The speed of the particle at t =3 s?

Given the position vector ~r(t) = t^2ˆi+tˆj in meters, what is the magnitudeof the velocity vector at a time of three seconds?

An artillery shell is fired with an initial velocity of 300 m/s at 55° above the horizontal. To clear an avalanche, it explodes on a mountainside 42.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point? 15 m/s. If the brick is in flight for 3s, how tall is the building? ANS. 25m

A particle leaves the origin with an initial velocity = (3.61î) m/s and a constant acceleration When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector? = ( – 1.84î – 3.827) m/s²

Must solve both the questions.

an airplane flies between two points on the ground that a re 500km apart. the destination is directly north of the origination. The plane flies with an air speed of 120 m/s. if a constant wind blows at 10.0 m/s. due west during the flight, what direction must the plane fly relative to the north to arrive at the destination.

A football is kicked at 25.0 m/s at an angle of 29.0∘ above the horizontal. Assume it starts 1.00 m above ground level. (Neglect any effects due to air resistance.) Describe the velocity vector of the ball in terms of its ?- and ?- components, ?? and ?? , respectively, when it is 5.00 m above ground level and still moving upward.