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Dynamics-Assignment01

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MECH2241- DYNAMICS
Assignment#01
1. A motorcycle patrolman starts from rest at A two seconds after a car, speeding at the constant rate of 120 km/h,
passes point A. If the patrolman accelerates at the rate of 6 m/s2 until he reaches his maxi­mum permissible speed
of 150 km/h, which he maintains, calculate the distance s from point A to the point at which he overtakes the car.
[Submit #1]
2. A sprinter reaches his maximum speed Vmax in 2.5 seconds from rest with constant acceleration. He then maintains
that speed and finishes the 100 meters in the overall time of 9.60 seconds. Determine his maximum speed Vmax·
3. Small steel balls fall from rest through the opening at A at the steady rate of two per second. Find the vertical
separation h of two consecutive balls when the lower one has dropped 3 meters. Neglect air resistance.
4. Two rockets start from rest at the same elevation. Rocket A accelerates vertically at 20 m/s2 for 12 s and then
maintains a constant speed. Rocket B accelerates at 15 m/s2 until reaching a constant speed of 150 m/s. What is the
distance between the rockets when t = 20 s?
School of Energy / Mechanical Engineering
Page 1
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