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2-6 Application of the equation of motion

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Solving problem 1.Draw sketch diagram - label all known quantities - note what quantities is asking 2. Write down known variable & unknown variable

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Sketch vivi VfVf 0 xixi XfXf Δx=x f -x i a

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Problem 43 A cheetah can acceleration from rest to 25.0 m/s within 6.22 s. Assuming constant acceleration, (a) how far has the cheetah run in this time? (b) After sprinting for 3.11 s, is the cheetahs speed 12.5 m/s, more than 12.5 m/s, or less than12.5 m/s? Explain (c) What is the cheetahs average speed for the first 3.11 s of its sprint? For the second 3.11 s of its sprint. (d) Calculate the distance covered by the cheetah in the first 3.11 s, and the second 3.11 s.

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Ex 2-8 A park ranger driving on a back country road suddenly sees a deer frozen in the headlights. The ranger, who is driving at 11.4 m/s, immediately applies the brakes and slows with an acceleration of 3.80 m/s 2. (a)If the deer is 20.0 m from the rangers vehicle when the brakes are applied, how close does the ranger come to hitting the deer? (b)How much time is needed for the rangers vehicle to stop?

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Catching a speeder Speeder 40 mi/hr (17.9 m/s) pass parked police car, Police begin present at an accelerate of 4.5 m/s 2. (a)How long to catch the speeder ? (b)How far have the two cars travelled? (c)Velocity of the police when it catch the speeder?

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2-7 Freely Falling Objects Free Fall: falling freely under the influence of gravity. Gravitational acceleration: g=9.8 m/s 2, always positive value Set up the y-axis upward as y increasing direction, acceleration a=-g=-9.8 m/s 2

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Free fall: dropped from rest v i =0 thrown downward v i 0 thrown upward V i =0 or v i 0 vfvf vivi VfVf vivi v=0 vfvf

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Ex1. Drop a ball for a 3.00m height (a) How long to reach the ground? (b) What is the speed to reach ground? Ex2. A ball is throw straight up at v i =20 m/s, (a) how far does it get to its maxima height? (b) How long does it time? (c) Where is the ball after 3 s? (d) How long does it take back?

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Ex3. Throw up a ball in the air v i =10 m/s when does it reach a height of 1m. what is maximum height? Ex4. 2 cars A cop car is at rest and a car speeder at 40 m/s, the cop starts to accelerate at 5 m/s 2 (a) How long does it take to catch car? (b) How far?

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Ex5. Problem 51 A rocket blast off and moves straight upward from the launch pad with constant acceleration. After 3.0s the rocket is at a height of 80 m. (a) What are the magnitude and direction of the rockets acceleration? (b) What is its speed after 12 s?

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