Kinematics-Motion in two Dimension

Q1. 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 30.0 to the right of the direction to the goal. What final displacement is needed to score a goal?(10.3 m, 17 degree west of north) Q2. 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) Q3. 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) Q4. 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? Q5. A motorcycle traveling on the highway at a velocity of 120 km/h passes a car traveling 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) Q6. 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? Q7. 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.An airplane has a velocity relative to the ground of 210 mls toward the east. The pilot measures hi5 airspeed [the speed of the plane relative to the air]I to be 160 m/s. What is the minimum wind velocity possible? A ball is thrown from a point 1.0 m above the ground. The initial velocity is 19.6 mls at an angle of 30.0\" above the horizontal. [all Find the maximum height of the ball above the ground. lb} Calculate the speed of the ball at the highest point in the trajectory? A boy plans to cross a river in a rubber raft. The current flows from north to south at 1 m/s. In what direction should he head to get across the river to the east bank in the least amount of time if he is able to paddle the raft at 1.5 m/s in still water?Vector A has a magnitude of 35.0 units and points in the direction 325 counterclockwise from the positive x axis. Calculate the x and y components of this vector?The magnitude of vector A is 8 km. and the magnitude of B is 6 km. Which of the following are possible values for the magnitude of vector A + B ? Which has a longer time of flight At (time interval between launch and hitting the ground)? O projectile launched at 30 O They are both equal O projectile launched at 15Which has the larger horizontal velocity component vx (refer question 2)? O projectile launched at 30 O They are equal O projectile launched at 150Two projectiles launched with the same initial speed but at different launch angles 15 and 30 . Ignore air resistance, which one will have more Range? O projectile launched at 30 O They are both equal O projectile launched at 150Find the x and y components of the force vector shown in the figure below. The force F =30.0 1b and the angle 0 = 55.09. (-24.6 1b, -17.2 1b) X F