In fighting forest fires, airplane work in support of ground crews by dropping water on the fires. A pilot is practicing by dropping a canister of red dye, hoping to hit the target on the ground below. If the plane is flying in a horizontal path 120m above the ground and with a speed of 54m/s, a) At what horizontal distance from the target should the pilot release the canister? b) At what time did the canister hit the target from it was released. c) What is the velocity and direction of the canister 3seconds after it was released? Air resistance may be ignored.

After discovering that two hikers have been stranded on Devil’s Thumb Pass, the Colorado Search andRescue team sends out a plane with supplies for the hikers. Because the hikers are in an isolated location, theplane has to drop the supplies as it fies overhead (see Figure 1). If the plane is 235 m above the hikers andhas a horizontal speed of 200 km/h, how far away from the hikers should the supplies be dropped if they areto land at the hikers’ location?

(a) From a balcony a child fires a toy arrow down to the ground below. The arrow has initial speed 12 m/s and is aimed at an angle of 30° below the horizontal. The arrow takes 1.2 seconds to hit the ground. (i) Calculate the initial horizontal (✰) and vertical (ŷ) velocity components of the arrow. (ii) Calculate the height of the balcony. (b) A projectile is launched with an initial speed of 75 m/s at an angle of 52° above the horizontal. If it lands at the same height from which it was launched, calculate how long the projectile remains in the air.

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.°

A high-performance jet plane, practicing radar avoidance maneuvers, is in horizontal flight 40.0 m above the level ground. Suddenly, the plane encounters terrain that slopes gently upward at 3.90°, an amount difficult to detect (see the figure). How much time does the pilot have to make a correction to avoid flying into the ground ( s)? The speed of the plane is 1200 km/h.

The initial speed of a tennis ball is 57.5 m/s and the launch angle is ?i = 16°. Neglect air resistance.Question 1) What is the maximum height, h, of the tennis ball? in mQuestione 2) What is the range, R, of the tennis ball? in m info given: what angle results in the greatest height=90 For this 90° angle, the horizontal component of velocity is zero, so the initial velocity is completely in the vertical direction, resulting in greatest height Kato tries substituting ty,max for t, 0 for yi, and h for yf, and gets h =  vi2 sin2 ?i 2g   When ?i = 90°, sin2 ?i is maximum, so h is maximum what angle results in the maximum horizontal range=45°  I substituted 2vi sin ?i g into the expression for the horizontal component of velocity, (vi cos ?i)t, and got  R =  2vi2 sin ?i cos ?i g when ?i = 45°, 2?i = 90°, and sin 90° = 1, which is its maximum value.

A tennis ball is projected at ground level. After 2 seconds, it just clears a net 2.5 metres high at a horizontal distance of 30 metres. Find:i) The angle of projection and the initial velocity ii) The time of flight and the range

An inflatable life raft is released from an airplane at 300 m altitude, in level flight, with an air speed of 40 m/s in the horizontal direction. At what horizontal distance from the release point does the raft strike the water?

Two projectiles are launched from two different heights, as shown in the figure. Projectile A, on the left, is launched from a 30 m building, with an initial speed of 50 m/s in a horizontal direction. Projectile B, at right, it is launched from a building 100 m from the other building and from a height of 15 m. It is also known that the Projectile B is launched at an angle of 135° with respect to the horizontal, with unknown initial velocity. Find: a) The initial velocity with which projectile B is launched. b) The time elapsed from when the projectiles are launched to when they crash into each other. 30m √(4) 100m 2-18) 15m 135°

An object is launched at a velocity of 20m/s in a direction making an angle of 25° upward with the horizontal. a) What is the maximum height reached by the object? b) What is the total flight time ( between launch and touching the ground) of the object? C) What is the horizontal range (maximum x above ground) of the object? d) What is the magnitude of the velocity of the object just before it hits the ground?