MOTION EQUATION PS1-to Directions: To receive full credit, answer the following

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MOTION EQUATION PS1-to Directions: To receive full credit, answer the following on a separate sheet of paper toc (1) List your givens and the variable you need to solve for. (Make a drawing i (2) Wri (3) Show your substitution into the equation. (4) Place a box around the final answer and be sure to use units te out the general form of the equation(s) you will use to solve the problem. toA cor rweing at gpoeod of 20 mi/s ts acelerated at a uniform rate of 16 m/ for 6.8 s. What is its final velocity? 2. Find the acceleration rate that will cause an object's velocity to increase from 32 m/s to 96 m/s in 8.0 s? 3. An electron, initially at rest, leaves a cathode (the back of a television) and is accelerated uniformly in a straight line to an anode (the front of a television). The electron reaches the anode in 0.002 s traveling at a speed of 1000 m/s. a. What is the acceleration of the electron. b. How far does the electron travel in this time? 4. A proton that has an initial speed of 264 m/s is decelerated in an electric field at a rate of -16 m/s2 for 15 s. How far does the proton travel during this time? 5. After take-off, a flying airplane accelerates from 85 m/s to 160 m/s at a rate of 5 m/s. How far does the plane fly during this period of time? 6. Starting from rest, a rocket is accelerated at the rate of 18 m/s for 5 seconds. a. What distance does the rocket travel in those 5 seconds? b. What is the speed of the rocket at the end of those 5 seconds? 7. A plane flying touches down and travels 302 m before coming to rest. Assuming uniform deceleration of 20 m/s2, at what speed did the plane touch down? 8. A plane with a landing speed of 75 m/s needs to make an emergency landing at the dlosest arceptable airport The landing gear is designed to withstand decelerations up to 7.5 m/s2. The closest airport has a runway 300 m long. Can the airplane land safely at this airport? Explain. 9. A student dropss a rock off a bridge and notices it hits the water below 4 seconds later. (Hint #1-what is the acceleration of the rock as it fall? Gravity! a-g -10 m/s. Hint2- w ihenignal yely of the rockifits stimply droppedo) b. At what speed does the rock hit the water? 7 Steps to Problem Solving 1. Read the entire question. 2. Write down what is given and what you are asked to find. 3. Make a sketch of the situation if appropriate 4. Select an equation which relates to the specific problem you are solving. Be sure the equation contains the variable you are trying to determine as well as the information you have been given. Write down the general form of the equation you select 5. Algebraically rearrange the equation for the desired variable. 6. Substitute the values given into the equation 7. Box your final answer, with units. Ask, "Does this make sense?" 53

Explanation / Answer

1.

V= u+at= 20+1.6*6.8= 30.88 m/s

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2.

a= (v-u)/t= (97-32)/8= 8.125 m/s^2

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3.

a= (v-u)/t= 1000/0.002= 500000 m/s^2

d= 0.5at^2= 0.5* 500000* 0.002^2= 1 m

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4.

d= ut-0.5at^2

= 264*15-0.5*16*15^2

d= 2160 m

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5. Using 3rd equation of motion

d= (v^2-u^2)/(2a)= (160^2-85^2)/(2*5)= 1837.5 m

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Plz post other problems seperatsep

Comment in case any doubt.. good luck

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