Dynamics HW1 Solutions

Dynamics HW1 Solutions - Problem 1-1: The acceleration of a...

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Problem 1-1: The acceleration of a particle is defined by the relation 2 0.05 av =− , where a is expressed in m/s 2 and v in m/s. The particle starts at 0 s = m with a velocity of 5 m/s. Determine (a) the velocity v of the particle after it travels 10 m, (b) the distance s the particle will travel before its velocity drops to 2 m/s, (c) the distance s the particle will travel before it comes to rest.
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Problem 1-2: A vehicle enters a test section of a straight road at 0 s = km with a speed of 30 km/hr. It then undergoes an acceleration a , which varies with position as shown below. At 0.5 s = km, the driver attempts to stop the vehicle by applying the brakes that generates a deceleration of 2.0 m/s 2 . (a) Determine the velocity v of the vehicle as it passes the position 0.5 s = km. (b) What is the distance the vehicle travels before it comes to a complete stop? 0.5 -2.0 -1.0 0.0 0.2 0.4 0.5 s (km) a (m/s ) 2
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Dynamics HW1 Solutions - Problem 1-1: The acceleration of a...

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