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Tuesday- Physics Con A homework Newton’s laws Homework Question #1 • A record of travel along a straight path is as follows: – Start from rest with constant acceleration of 2.77 m/s2 for 10 s – Constant velocity for next 2.05 min – Constant negative acceleration (-9.47 m/s2) for 4.39 s • Find the overall displacement fro the complete trip. Answer #1 Part one: Vi = 0, a = 2.77, (t = 10) identifier = vf D = vit + ½ at2 d = _____ Vf = vi +at vf = ______ Part two: Vf from the first part = vi and vf in the second part _________ a=0 t = 2.05 min x 60 = 123 sec Several equation to chose from… d = ½(vi +vf)t v= Answer #1 • Part C: vf of the second part = vi of the third a = -9.47, t = 4.39 D = vit + ½ at2 d = __________ Overall displacement = the sum of D’s from each part Problem #2 • Killer whales routinely jump 7.5 meters above the water. What is their velocity as they leave the water in order to achieve this feat? Answer #2 • • • • 7.5 = d, a = -9.8 (freefall), vf = 0 Want vi Identifier is time Vf2 = vi2 + 2ad Problem #3 • Two students are on a balcony 19.6 m above the street. One student (student A) throws the ball vertically downward at 14.7 m/s at the same instant the other student (student B) throws the ball vertically upward with same speed. The second ball just misses the balcony on the way down. a) What is the difference in their time in the air? b) What is the velocity of each ball the instant before it hits the ground? c) How far apart are the balls 0.8 s after they are thrown? What do we know • Student A for the whole flight D = -19.6 m, a = -9.8 m/s2, vi = -14.7 m/s Want t (part a) and vf (part b) Since solving for t would mean using the quadratic formula… Solve for vf first Identifier is then t so use Vf2 = Vi2 + 2ad Final velocity = ________ (remember downward motion) Student A • Once final velocity is found, use to find t: • Ant equation with t is possible, simplest is Vf = Vi +at t = __________ Student B • Vi = +14.7, a = -9.8, d = -19.6 • Repeat the procedure done to find vf, t for student A • Vf = ________, t = ________ Part C To answer part c: • find the overall displacement between balls • Find d of each • D of student A You know a = -9.8, t = 0.8 s, vi = -14.7 , want d Final velocity is the identifier Use d = vit + ½ at2 d =__________ Part C • D of student B You know a = -9.8, t = 0.8 s, vi = +14.7 , want d Final velocity is the identifier Use d = vit + ½ at2 d =__________ How far apart means add the magnitudes Newton’s Laws of Motion • 3 Laws • Describes how motion is governed by forces What is the First Law of motion? First Law • An object at rest, stays at rest • An object in motion, stays at the same constant rate • Unless acted upon by a net outside force Inertia • The measure of an object’s resistance to change in motion • Related to how massive the object is • Larger the mass, the more inertia Auto Accidents Questions • Will you be able to continue to hold some one or some thing in an auto accident • What will happen to Fluffy if the animal is in the back window-well of your sedan during a crash • What happens to your body in a frontal crash versus a rear end collision? What is the 2nd law of motion? 2nd law • If there is a change in motion (acceleration) • Acceleration = net force / mass • Rewrite as the equation: Fnet = ma 3rd Law • For every action force • there is an equal but opposite reaction force • Fist-fight • Any interactions between objects