Find the resultant of the force vectors shown in the figure below. The forces are A = 1.00 lb, 82 2.00 |b,and B C = 5.00 |b.The angles are 01 = 200, 02 = 60.0. and 03 2 300. A hockey player faces the goal, which is 15.0 m in front of him (due north). Instead of trying to make a direct shot, the player passes the puck to a teammate who is 6.00 m away in a direction 300 to the right ofthe direction to the goal. What final displacement is needed to score a goal?{10.3 m. 17 degree west of north) How to derive Range, Maximum Height and time of ight ? Attacking the Castle Walls The catapult used by the marauders hurls a stone with a velocity of 50.0 mfs at a 30.0" angle of elevation (Fig. 3.23). (a) What is the maximum height reached by the stone? (b) What is its range (defined as the horizontal distance traveled when the stone returns to its original height)? (0) How long has the stone been in the air when it returns to its original height? heiglu A projectile is launched at ground level with an initial speed of 45.0 m/s at an angle of 26.0 above the horizontal. It strikes a target above the ground 1.80 seconds later. What are the x and y distances from where the projectile was launched to where it hits the target? (72.8m, 19.6m) A ball is kicked with an initial velocity of 15.5 m/s in the horizontal direction and 9.00 m/s in the vertical direction. (a)At what speed does the ball hit the ground? (17.9m/s) (b) For how long does the ball remain in the air?(1.84s) (c)What maximum height is attained by the ball?(4.13m) A ball is thrown horizontally from the top of a 75.0 m building and lands 105 m from the base of the building. Ignore air resistance. (a) How long is the ball in the air? (3.91s) (b)What must have been the initial horizontal component of the velocity? (26.8m/s) (c)What is the vertical component of the velocity just before the ball hits the ground? (-38.3m/s) (d) What is the velocity (including both the horizontal and vertical components) of the ball just before it hits the ground?A motorcycle travelling on the highway at a velocity of 120 km/h passes a car travelling at a velocity of 90 km/h. From the point of view of a passenger on the car, what is the velocity of the motorcycle? (30 km/hr) An airplane flies from Denver to Chicago (1770 km) in 4.4 h when no wind blows. On a day with a tailwind, the plane makes the trip in 4.0 h. (a) What is the wind speed? (b) If a headwind blows with the same speed, how long does the trip take? A boat crossing a wide river moves with a speed of 10.0 km/h relative to the water. The water in the river has a uniform speed of 5.00 km/h due east relative to the Earth. (A) If the boat heads due north, determine the velocity of the boat relative to an observer standing on either bank.Find the x and y components of the force vector shown in the figure below. The force F =30.0 1b and the angle 0 = 55.0. (-24.6 1b, -17.2 1b) X FKinematics in Two Dimensions: An Introduction Vector Addition and Subtraction: Graphical Methods Vector Addition and Subtraction: Analytical Methods Projectile Motion Addition of Velocities