An automobile traveling 95 km/h overtakes a 1.80 km -long train traveling in the same direction on a track parallel to the road. if the train's speed is 75 km/h, how long does it take the car to pass it? how far will the car have traveled in this time? how long does it take the car to pass the train if the car and train are traveling in opposite directions? how far will the car have traveled in this time?

Determine the maximum r-value of the polar equation r =3+3 cos 0

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Afaulty model rocket moves in the xy-plane (the positive y direction is vertically upward). the rocket's acceleration has components ax(t) = ? t2 and ay(t) = ? ? ? t, where ? = 2.50 m/s4 , ? = 9.00 m/s2 , and ? = 1.40 m/s3 . at t = 0 the rocket is at the origin and has velocity ~v0 = v0x ? i + v0y ? j with v0x = 1.00 m/s and v0y = 7.00 m/s. (a) calculate the velocity and position vectors as functions of time. (b) what is the maximum height reached by the rocket? (c) sketch the path of the rocket. (d) what is the horizontal displacement of the rocket when it returns to y = 0?