A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's...

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Physics

A faulty model rocket moves in the xy-plane (the positivey-direction is vertically upward). The rocket's acceleration hascomponents ax(t)=?t2 and ay(t)=???t, where ? = 2.50 m/s4, ? = 9.00m/s2, and ? = 1.40 m/s3. At t=0 the rocket is at the origin and hasvelocity v? 0=v0xi^+v0yj^ with v0x = 1.00 m/s and v0y = 7.00m/s.

1. Calculate the velocity vector as a function of time.

2. Calculate the position vector as a function of time.
Express your answer in terms of v0x, v0y, ?, ?, and ?. Write thevector v? (t) in the form v(t)x, v(t)y, where the x and ycomponents are separated by a comma.

What is the maximum height reached by the rocket?

What is the horizontal displacement of the rocket when it returnsto y=0?

Answer & Explanation Solved by verified expert

4.4 Ratings (870 Votes)

it is just a matter of integration and using initial conditions since in general dvdt a it implies v integral a dt vtx integral axt dt alpha t33 c the integration constant c can be found out since we know vtx at t 0 is v0x so substitute this in the equation to get vtx See Answer

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