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You MUST show all the steps you take to solve the problem: the formulas, calculations, results...

You MUST show all the steps you take to solve the problem: the formulas, calculations, results and units to receive the whole credit for each problem. You must show vectors to receive credits.

You are driving down the highway late one night at 20m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s, and the maximum deceleration of your car is 10m/s2 . How much distance is between you and the deer when you come to a stop?

2- A rocket, initially are rest on the ground, accelerates straight upward from rest with constant acceleration 39.3 m/s2. The acceleration period lasts for 5.0 s until the fuel is exhausted. After that, the rocket is in free fall. Find the maximum height Ymax reached by the rocket. Ignore air resistance and assume the constant acceleration due to gravity equal to 9.80 m/s2  

3-Tom standing on the roof of a tall building of 60m height throws a ball at angle of 45⁰ The velocity of the ball is 12 m/s when it leaves tom’s hand. Calculate the following: write your complete solution under each part. a- Initial velocity in X, and Y direction b- Time to reach to its maximum height. c) Maximum height of the ball with respect to the ground. d) Velocity of the ball at maximum height e) Final velocity in X direction and Y direction f) Final velocity: magnitude and direction (angle) g) Acceleration of the ball at maximum height. h) Total time in the air. i) Distance between the landing spot and the base of the building.

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