A canon ball, projected at angle of 60° above the horizontal strikes a tower 30m away at a point 15m above the point of projection a. Make sketch of the problem b. Find the initial velocity of the projectile c. How long was it in the air? d. Find the magnitude and direction of velocity of the projectile
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- A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?The F-35B Lighting II is a short-takeoff and vertical landing fighter jet. If it does a vertical takeoff to 20.00-rn height above the ground and then follows a flight path angled at 30 with respect to the ground for 20.00 km, what is the final displacement?In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plane is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2500 m, climbing at 100 above the horizontal, and moving 30 north of west. The DC-3 is at an altitude of 3000 m, climbing at 50 above the horizontal, and cruising directly west. (a) Find the position vectors of the planes relative to the control tower. (b) What is the distance between the planes at the moment the air traffic controller makes a note about their positions?
- A projectile shot an angle of 60o above the horizontal strikes a building 30 m away at a point 15 m above the point of projection. a. Find the initial velocity of the projectile, the velocity with which it is projected. b. Find the magnitude and direction of the velocity of the projectile just before it strikes the building.A golfer strikes a golf ball on level ground.The ball leaves the ground with an initial velocity of 42 m/s [32oabove horizontal].a. Draw a vector diagram to describe the situation of the of golfball with initial velocity.b. Find the range (horizontal distance) of the golf ball travelled.c. Find the maximum height (vertical distance) the golf ballreachedA ball is thrown with on nitio velocity of 100 ft/s upward. Upon the vertical. release, it makes a 30° angle with respectwith a. What is the velocity of the ball 50ff measured horizontally from its initial position? b. Find the radius of curvature 50ft mecsured hoizontaly from its initial position.
- Direction: Use the projectile diagram. 2. A firefighter, a distance 10 m from a burning building,directs a stream of water from a fire hose at an angle 40 0 ,above the horizontal as shown in the figure. If theinitial speed of the stream is 15m/s, at what height Y doesthe water strike the building?A 2.54m tall tennis player is 11.72m away from the net of 0.90m inheight. If the ball clears a height of 0.15m above the net and the player strikes theball horizontally from his initial position, determine: a. velovity of a ball b. the distance measured from the net where the ball hits the other side of the courtA projectile is launched at 50m/s velocity making an angle of 30 with horizontal. a. Calculate the velocity of the projectile at 3sec.
- Solve each problem correctly and systematically. Your answers should be in 3 decimal places. A projectile is fired with an initial velocity of 320m/s at an angle of 15o with the horizontal. 1. Find the velocity, in m/s, of the projectile along the horizontal after 10s. 2. Find the velocity, in m/s, of the projectile along the vertical after 10s. 3. Find the resultant of the velocity, in m/s, of the projectile after 10s. 4. Find the direction, in deg, with respect to the horizontal, after 10s. 5. Find the position, in meters, of the projectile along the horizontal after 10s. 6. Find the position, in meters, of the projectile along the vertical after 10s.A cannon shoots a a large cannonball. The cannonball has a intital speed of 125 m/s. If the elevation angle was 32., what is the horizontal distance that the cannonball travel?A projectile is fired with an initial velocity of 320m/s at an angle of 15o with the horizontal. a. Find the velocity, in m/s, of the projectile along the horizontal after 10s. b. Find the velocity, in m/s, of the projectile along the vertical after 10s.