Suppose a pilot flies 40.0 km in a direction 60 north of east and then flies 30.0 km in a direction 15 north of east as shown in Figure 3.61. Find her total distance R from the starting point and the direction of the straight-line path to the final position. Discuss qualitatively how this flight would be altered by a wind from the north and how the effect of the wind would depend on both wind speed and the speed of the plane relative to the air mass.

Q: An object is projected straight upwards with an initial velocity U. If T is the time taken to return…

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Q: A mortar gu, with a maximum range of 20 m on level ground, is placed on the edge of a vertical cliff…

A: As the request is for (b), I will answer only (b)   Given, Range (R) = 20m. The mortar gun is placed…

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

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Q: An airplane flies horizontally above the flat surface of a desert at an altitude of 5 km and a speed…

A: Distance is the total movement of an object without any regard to direction.  Here, we calculate the…

Q: Let's say the launch speed is constant, but you can adjust the launch angle, and again we will deal…

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Q: An arrow at angle of 25° is moving at a rate of 15 m/s, find the final velocity (along the X and Y…

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Q: If we neglect air resistance, then the range of a ball (or any projectile) shot at an angle 0 with…

A: The initial velocity of a projectile = voLaunch angle = θAcceleration due to gravity = g

Q: An arrow has an initial launch speed of 18 m/s. If it must strike a target 31m away at the same…

A: initial sped = 18 m/s distance  31 m projection angle= ?

Q: A fireworks show is choreographed to have two shells cross paths at a height of 167 feet and explode…

A: When an object is thrown obliquely near the earth's surface, it moves in a curved path. The object…

Q: Jack Sparrow sees a Royal Navy ship around 500 meters avway and wants it sunk immediately, You, as…

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Q: Give an example of a trajectory in two or three dimensions caused by independent perpendicular…

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Q: What is the horizontal distance covered by a shotput if it has an initial velocity of 23 m/s at an…

A: The given data are: v=23 m/sθ=44°h=2.2 m Here, v denotes the initial velocity, θ denotes the angle,…

Q: Prove the well-known result that, for a given launch speed vo, the launch angle 0 = 45° yields the…

A: To prove that for a given launch speed v0, the launch angle θ = 45o yields the maximum horizontal…

Q: At what angle should a projectile be launched to attain maximum range? O 45 degrees O 25 degrees O o…

A: There are various factors that can affect the maximum projectile range of a projectile. It includes…

Q: A projectile with a muzzle velocity of 550 mps is fired from a gun at a top of a cliff 460 m above…

A: Given that, Velocity = 550 mps Height = 460 m Time = 49.2 s

Q: Consider a projectile fired with an initial velocity perpendicular to an incline sloping downward at…

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Q: A bullet was fired at a velocity of 2458m/s and must be angled to reach the target located at the…

A: Given: velocity u =2458m/sFind: Angle of projection for maximum range…

Q: A missile is launched at an angle of 60° up from the horizontal. Between 2 and 3 seconds after…

A: The horizontal acceleration is zero.Write the horizontal distance travelled by the missile

Q: For a fixed initial speed, the range of a projectile is determined by the angle at which it is…

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Q: On a day when the water is flowing relatively gently, water in the Niagara River is moving…

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Q: At what angle with the horizontal a player should throw a ball so that it may go to a maximum…

A: The ball must be thrown at an angle of 450 to achieve maximum range.

Q: You throw a ball at a launch speed of 6.7 m/s at an angle of 52.5 degrees to the horizontal.…

A: Given data: The launching speed of the projectile is, u= 6.7 m/s  The angle of projection is,…

Q: Suppose a projectile is launched at an angle of 60° above the horizontal. If the initia speed of the…

A: Given  Angle =60°  Projectile speed=v= 200 ft/ sec  Acceleration due to gravity =32 ft/sec²  Let x,y…

Q: an outfielder throws a baseball to the second baseman, the distance is 125 ft, the throw is at a…

A: Given Distance R = 125 ft = 38.1 m speed u = 80 mph = 35.76 m/s speed along x-axis ux = ucosθ speed…

Q: How to find the maximum height of a cannonball with an initial velocity, v^o and a angle of 45?

A: Given parameters:Initial velocity = V0  Angle made with the horizontal = θMaximum height =?

Q: The speed of a projectile when it reaches its maximum height is one-half its speed when it is at…

A: let the initial velocity = u Let the launch angle = θ

Q: Imagine you want to measure the height of an inaccessible mountain peak on an island in the South…

A: The boat travel 25 km in south east direction at 37 degree.

Q: What relation exists between the range covered by two projectiles thrown up with the same initial…

A: The range of a projectile is given by R=u2 sin 2θg                             (1) where u=initial…

Q: The projectile at A is projected with an initial velocity v=23 m/s and an angle of projection theta…

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Q: I shot an arrow into the air, it came down I know not where.  Considering that it was shot at 40…

A: Given data The velocity of the shot is v=40 m/s The angle of the throw is θ=45o   During the shot of…

Q: A skydiver jumped out of a plane to shoot a skydiving scene for a certain spy movie. At what point…

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Q: The artillery gun with a muzzle velocity of vo=150m/s is fired at the slope of the mountain at…

A: (given) v0=150 m/sx=980 m (Horizontal distance) y=400 m (vertical distance)s=x2+y2   =(980)2+(400)2…

Q: In a projectile motion experiment, the launcher is mounted horizontally at a height of 125 cm above…

A: Given: Height (h)=125cm=1.25m horizontal distance (X)= 176 cm=1.76m A) Find  the muzzle velocity…

Q: A quarterback throws a football toward a receiver with an initialspeed of 20. m/s at an angle of…

A: a)The equation for vertical displacement is given by

Q: A projectile is fired vertically from point A with an initial speed of 250 ft/sec. Relative to an…

A: Given u =250 ft/s AB=375'=37512=31.25 ftθ=32°

Q: Astone is catapulted at time t-0, with an initial velority of magnitude 19.1 m/s and at an angle of…

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Q: A longbowman launches arrows at 50 m/s. Assuming that the firing is done at 45 degrees from the…

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Q: A projectile is launched horizontally from the top edge of a 20 m tall building with a Vox of 25m/s.…

A: Here, the given projectile is horizontal projectile. For horizontal projectile initial vertical…

Q: what two angels of elevation will enable a projectile to reach a target 13km downrange on the same…

A: Given  Range = 13 km = 13000 m Initial speed = 424 m/sec

Projectile Motion