Question

Hi, here are the next 5 problems I had promised:
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1. A Bus moving with a uniform speed when the driver applies the breaks for 10m distance, bringing it to stop in 10 s. With was speed was the bus moving, before the breaks were applied? What was the retardation?
2. Cars cruise down an expressway at 25 m/s. Engineers are designing an off-ramp in an interchange with a deceleration of −2.0 m/s2 that lasts 3.0 s.
(i) What velocity will cars have at the end of the off-ramp?
(ii) What minimum length should the ramp have?
(iii) What maximum velocity could a car entering the off-ramp have and still be able to exit at the intended velocity? (Assume an extreme deceleration of four times the usual rate.)
3. A car with an initial velocity of 60 mph needs 144 feet to come to a complete stop. Determine the stopping distance of this same car with an initial velocity of…
(i) 30 mph (ii) 20 mph (iii) 10 mph
Note: The rate of change of velocity is not affected by inital velocity in this problem. Fast cars and slow cars slow down at the same rate.
4. A typical commercial jet airliner needs to reach a speed of 180 knots before it can take off. (A knot is a nautical mile per hour and is nearly equal to half a meter per second.) If such a plane spends 30 s on the runway estimate
(i) its acceleration (ii) the minimum runway length.
5. A 10 car subway train is sitting in a station. It reaches its cruising speed after accelerating at 0.75 m/s2 for distance equivalent to the length of the station (184 m). It then travels at a constant speed towards the next station 18 blocks away (1425 m).
Determine the train's cruising speed.
(i) Determine the time it took for the train to accelerate from rest to its cruising speed.
(ii) How long does it take the train to travel the 18 blocks to the next station?
(iii) The driver stops the train in the second station in half the distance it took to start it at the first station.
(iv) What is deceleration of the train in the second station?

Answer 1

Answer:

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