Question

1. Starting from rest, an automatic subway train is controlled by a computer that causes it’s...

1. Starting from rest, an automatic subway train is controlled by a computer

that causes it’s motion to follow the equation x = At^3

for the first five seconds

where x is the distance covered. Find expressions for expressions for the

speed and acceleration as functions of time. If starting from rest, the train

acquires a speed of 4 m/s in 5 s, what is the value of A including units.

2.

A rocket gets a gravitational assist from Jupiter and is directed toward

alpha centauri star system at a speed of 40,000 miles per hour.

Considering alpha centauri is 4.2 light years away from the solar system

(and Jupiter) what acceleration would be needed to accelerate to the

half way point and decelerate until arriving if the trip is to take 400

years.

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