1. The position of a particle is given by s = 223 - 402 + 200c - 50...

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1. The position of a particle is given by s = 223 - 402 + 200c - 50, where s is in meters and / in seconds. Find the velocity and acceleration as functions of time. Determine the time at which the velocity is zero. 2. The velocity of a particle is given by b = 2 - 4t + 5t3/2, where t is in seconds and y in m/s. Find its position s, velocity v, and acceleration a when t = 3 s. The starting position of the particle t = 0 is So = 3 m. 3. A car comes to a complete stop from an initial speed of 80 km/h in a distance of 30 m. (a) Determine the acceleration of the car. (b) What will be the stopping distance if the car had an initial speed of 120 km/h and the same constant acceleration as in part (a)? 4. A motorcycle starts from rest with an initial acceleration of 3m/s², and the acceleration then changes with distance s as shown. Determine the velocity v of the motorcycle when s = 200 m 6 4 2 100 200 s.m

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