3. John, flying at constant velocity of 235 km/h horizontally in a low-flying helicopter, wants to drop a package into his friend's car which is traveling 155 km/h on a level highway 78.0 m below. At what angle (to the horizontal) should the car be in his sights when the package is released? See Figure 2.
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- A rifle is aimed horizontally at a target 25m away. The bullet hits the target 1.5cm below the aiming point. What are (a) the bullet's time of flight and (b) its speed as it emerges from the rifle? Make sure you give the units for each answer.A student standing on a cliff that is a vertical height d= 25 ft above the level ground throws a stone with velocity v0= 73 ft/s at an angle θ = 25 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. 1).With what speed, vf in feet per second, does the stone strike the ground? 2).1. A ball is thrown upwards with an initial velocity of ; = 44 m/s at an angle of above the horizontal. It travels a distance Ar = 75 m in the horizontal direction and lands at its original height. What is 0? (Hint 1: examine the ball's motion in both the x and y directions. Hint 2: you may need to use that sin(0) cos(0) = (1/2) sin(20). Hint 3: There are two solutions to this problem; try to find both.) Take g = 9.81 m/s² and show all your work.
- 6. A projectile is launched at ground level with an initial speed of 46.0 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.70 seconds later. What are the x and y distances from where the projectile was launched to where it lands? 7. A ball is thrown horizontally from the top of a 54.0-m building and lands 117.3 m from the base of the building. Ignore air resistance. (Assume the ball is thrown in the +x direction and upward to be in the +y direction.) (a) How long (in s) is the ball in the air? s (b) What must have been the initial horizontal component of the velocity (in m/s)? (Indicate the direction with the sign of your answer.) m/s (c) What is the vertical component of the velocity (in m/s) just before the ball hits the ground? (Indicate the direction with the sign of your answer.) m/s (d) What is the velocity (in m/s) (including both the horizontal and vertical components) of the ball just before it hits the ground? magnitude…Jse the worked example above to help you solve this problem. An Alaskan rescue plane drops a package of emergency rations to stranded hikers, as shown in the figure. The plane is traveling horizontally at 45.0 m/s at a height of 1.40 x 104 m above the ground. (a) Where does the package strike the ground relative to the point at which it was released? 241 (b) What are the horizontal and vertical components of the velocity of the package just before it hits the ground? horizontal 45 m/s 52.3832 vertical The response you submitted has the wrong sign. m/s (c) Find the angle of the impact. 49 The response you submitted has the wrong sign.°2. A child standing at a third story window (25 meters above the ground) throws a baseball at an angle of 30° above the horizontal with an initial velocity of 20 m/s. How far from the building does the ball hit the ground?
- 3. A football is kicked at 37.0° to the horizontal at 20.0 m/s from the player's hand at 1.00 m from the ground. How far did the football travel before hitting the ground? 4. A long-jumper leaves the ground at an angle of 20° above the horizontal and at a speed of 11.0 m/s. (a) How long is he in the air? (b) How far does he jump in the horizontal direction? (c) What is his maximum height?4. The Incredible Hulk, chased by the army, leaps with speed 16_m/s at a 57° angle above the horizontal from the top of a building. If he lands 59 m from the base of the building, then find the height of the building.