Physics 71 1st Lecture problemsJetlinerA jetliner touches down at a speed of 270 [km/h]. On landing, the plane decelerates 4.5 [m/s2]. How far from the point of landing will the aircraft travel before going to a complete stop?OverspeedingA motorist moving at constant speed at 21 [m/s] passes by a stationary police car by the roadside. The police officer immediately heads after the motorist, accelerating at [2.5 m/s2]. When the officer pulls alongside the motorist, (a) how far down the road are they and(b) how fast is the police car going?DiverA diver drops from a 10 [m] high cliff above the water level. What is his velocity as he enter the water? How long is he in the air? a= -g (9.81 m/s2)Catch UpYou drop a ball from a top of a 491 [m] building. Five seconds later, you throw another ball downward. How long will it take the first ball to hit the ground? How fast should you throw the second ball for it to catch up with the first ball exactly at the instant right before they hit the ground?Up and DownYou toss a ball straight up with an initial speed of 7.3 [m/s]. When it leaves your hand, it is 1.5 [m] above the floor. When does it hit the floor? Find the maximum height it reaches and its speed when it passes your hand on the way down.Cross windA plane is flying eastward at 250 [m/s] when it encounters a crosswind that gives a southward acceleration of 1.2 [m/s2]. What is the planes (a) velocity and (b) magnitude of displacement after 1minute?DareDevil StuntA biker moving at 80 [m/s] goes right over the edge of a flat ramp that is 10.0 [m] above the ground. He has to pass 110. [m] of burning junk cars. Will the stunt be successful or not?Penalty KickLionel Messi is awarded penalty kick. Radar readings shows that he kicked the ball off the ground at a speed of 20 [m/s] at an angle 25 degrees above the ground. If the penalty kick area is 11 [m] away from the goal and the goal has a height of 2.4 [m]. Will he e able to score a goal or not?

Relative motionYou are driving a car along a straight level road and the speedometer reading is constant at 10 [m/s]. What is your velocity (a) wrt passenger inside your car? (b) wrt a stationary observer on the ground?Relative Velocity: Straight RoadYou are traveling north at a constant speed of 88. [kph]. A truck traveling at 104 [kph] constant speed approaches you. What is the trucks velocity [kph] relative to you?Flying in a crosswindThe compass of an airplane indicates that it is headed due north, and its airspeed shows that it traveling through the air at 240 [kph]. If there is a wind at 100 [kph] from west to east, what is the velocity of the plane relative to Earth? In what direction then wrt to AIR should the pilot to travel NORTH wrt EARTH?Tug of WarThree teams play in a tug-of-war using three ropes tied together at one end. Team 1 exerts F1= 250 N (53 degrees from x axis), F2= 50.0 N, F3=120 N. Which team will win the game?Hanging BoxA 2.0 [kg] box is hanging at rest on a smooth wall (30 degrees from the top surface of the box with the rope). Determine the (a) tension of the rope (b) force of the wall on the box (c) force of the box on the wall.ElevatorYou (mass: 80.0 kg) are standing on a weighing scale inside a elevator. What is the weighing scale reading when the elevator is accelerating at: a.) 1 m/s2 upward b.) 1m/s2 downward c.) constant speed d.) 9.81 m/s2 downwardPush Mo YanOn a smooth surface, you push with 7 [N] force on box A (mass: 3[kg]) that pushes box B (mass: 4[kg]). What is the magnitude of acceleration of box A? What is the force exerted by Box A on B??Rough rampThe coefficients of static and kinetic friction between the surface of an incline and a wooden box is 0.85 and 0.70, respectively. (a) If the angle of inclination is slowly increased from the horizontal, at what critical angle will the box start to slide? (b) At what angle beyond the critical angle will the box slide at constant speed?

Brakes!!!The coefficient of kinetic friction of a cars tires and a dry road is 0.61. If the car is traveling at 24 [m/s] when the brakes are applied such that the wheels are locked, determine the minimum stopping distance of the car.Two body problemWorkers are pulling a 210 [kg] piano up a building using a massless rope over a frictionless, massless pulley. They tie a rope over a 260 [kg] desk, leaving the piano dangling 3.1 [m] above the ground. Unfortunately, the desk begins to slide: Us=0.71. Whats the pianos acceleration?RainRaindrops usually begin to pour 20 km above the ground. What is a speed of a 0.034 g raindrop when it reaches the ground if (a) there is no air resistance (b) there is air drag (D=3.7699x10-6 kg/m)Horizontal CircleA ball of mass m=o.20 [kg] is attached to a string of length L=1.0 [m]. Holding the other end of the string, the ball is whirled clockwise on top of a table at a constant speed of 2.0 [m/s]. Determine the (a) centripetal/ radial acceleration of the ball and (b) period T, which is time it takes for one revolution.Too fast, too furiousA road makes a 90 degree bend with a radius of 190 [m]. A car enters the end moving at 20 [m/s].. Finding this too fast, the driver decelerates at 0.92[m/s2] along the curve. Determine the acceleration of the car after 5.0 [s] in rounding the curve. Wrecking BallMiley is on a wrecking ball that is attached to a 3.0-m cable that is 60 degrees below the ceiling. The Miley+ ball system with total mass of 5.0 x 10^3 kg undergoes a uniform circular motion along a horizontal circle. Determine the: (a) tension in the cable (b) speed of Miley+ball systemTruck problemsA box is at rest inside a delivery truck. A truck encountered a curve (R= 50m) so the driver kept his speed constant at 8.0 m/s along the curve. The coefficient of static friction between the truck and the box is 0.10. Determine the (a) free body diagram of the box (b) Will the box slide as the truck travels the curve? (c) What is the maximum speed that the truck should travel to keep the box from sliding?