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Q1: A train accelerate from 0 m/s to 36 m/s in 12 seconds and continues for...

Q1:

A train accelerate from 0 m/s to 36 m/s in 12 seconds and continues for 50 seconds at 36 m/s . The driver then brakes strongly to stop in 26 m.

  1. Find the constant acceleration of the train for the first 12 s
  2. Find the total displacement traveled by train.
  3. Find the acceleration for the braking phase.
  4. How long does it take the train to stop from when the brakes are first applied.

Q2:

A rocket is fired vertically from the ground with an initial velocity of 27 m/s .

  1. Find the rocket's maximum altitude.
  2. How long does it take to reach the maximum altitude.

Q3:

A cannonball with an initial height of 1.5 meter above the ground is fired from a cannon at an angle of θ above the horizontal and with initial velocity of 40 m/s. The cannonball travels a horizontal distance of 30 meters and passes over a 14 meter high castle wall.

  1. Find the initial firing angle θ
  2. How much time it takes for the ball to pass over the castle wall ?.
  3. Find the velocity (magnitude and direction ) if the cannonball as it over the castle wall.
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