Question A: i) An Amtrak train is currently (time=0) at position 0, going 20 met

Question

 Question A: i) An Amtrak train is currently (time=0) at position 0, going 20 meters/sec, accelerating at 3 m/s^2.  What will its position be after 2 seconds? ii) A train is going 15 meters/sec, accelerating at 3 m/s^2.  How far will it go in 2 seconds? iii) A train is currently (time=0) at position 0, going 5 meters/sec, accelerating at 1.5 m/s^2, with a jerk of 0.55 m/s^3 and a snap of 0.01 m/s^4.  What will its position be after 2 seconds? iv) Consider that same train from part (iii).  What is its velocity at t=2? v) Consider that same train from part (iii).  What is its acceleration at t=2? 

Explanation / Answer

i)s=ut+[1/2]at^2

here u=20 m/sec and a=3 m/s^2

after t=2 sec

s=40+6=46 m

2)s=ut+[1/2]at^2

after t=2 sec

s=30+6=36 m

3)

=>10+3=13m

4)

5)

here j=jerk=0.55 m/s^3

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