What is the angle with respect to the ground at which you throw a projectile, with constant gravity and negligible air resistance, to maximise the range of the projectile?
Q: Show that the maximum horizontal distance for a projectile can be attained when the angle is 45…
A: Consider a projectile is launched at an angle of θ with a velocity of v0. The maximum horizontal…
Q: A projectile is fired with an initial velocity of 244 mps at a target B located 610 m above the gun…
A: Given that, A projectile is fired with u=244m/s target 'B' located at 610m above the gun A, at…
Q: A projectile projected with the initial velocity 25 m/s with the lunching angle of 30°. Find the…
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Q: Keeping the angle of projectile constant, the velocity of projection is double. What is the effect…
A: The equation for the horizontal range is given by
Q: A Projectile is fired with an initial speed of 45 m/s at an angle of 33 degree above the horizontal…
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Q: A projectile is launched with an initial velocity of 100 m/s at a 30° angle above the horizontal.…
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Q: A placekicker is attempting to make a 59-yard field goal. If the launch angle of the football is…
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Q: A fixed mortar can fire a bomb with a velocity of 60 m/s and can be set between an angles 10 to 75…
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Q: A projectile is launched with a launch angle of 50° with respect to the horizontal direction and wit
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Q: projectile is launched at 50m/s velocity making an angle of 30 with horizontal a. Find the…
A: Given Initial velocity u = 50 m/s Angle of projection = 300
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: Compute for the range of the projectile Given: initial velocity= 15m/s Angle: 0°…
A: Initial velocity of projectile (u) = 15 msLaunch angle (θ) = 0oTo find : The range of the projectile…
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: What is the velocity vector of the projectile at the maximum
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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: If two missiles are fired with two different angled missile-launchers from the same position. Could…
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Q: Two projectiles are thrown with the same magnitude of initial velocity, one at an angle with respect…
A: Range of the projectile Thus, complementary angles provide the same range.
Q: At what angle to the horizontal should a projectile be released for it to reach the farthest…
A: Horizontal distance covered by a body during its flight is known as the horizontal range. It is…
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: The magnitude of the velocity of a projectile remains constant. Is it correct?
A: For a projectile, the horizontal velocity always remains constant due to absence of any acceleration…
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: With a muzzle velocity of 50.86 cm per second, and launched at a 30° angle, a steel ball is fired…
A: muzzle velocity = Vo= 50.86 cm per second Angle = 30° So horizontal component of velocity, is Vxo…
Q: A particle is projected from the ground with an initial speed of '' at angle 0 with horizontal. The…
A: The maximum height reached At this moment the particle would have crossed a distance equal to half…
Q: A projectile is launched from point A with an initial speed vo = 100 ft/sec. Determine the minimum…
A: Vo=100ft/s, x=370’, yo=95’ X=xo + voxt = xo + vocosαt 370 = 0 + 100cosαt t =370/100cosα – i) y= yo +…
Q: A placekicker is attempting to make a 64-yard field goal. If the launch angle of the football is…
A: It is given that, R=64 yd=58.52 mθ=40o
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: A projectile is fired into the air at an angle of 23 degrees. At what other angle would this…
A: Thus the range will be same for complementary angles.
Q: A basketball player tries to make a half-court jump shot releasing the ball at the height of the…
A: Given(s): The initial height is the same as the final height (height of the basket). Launch angel,…
Q: A shot is fired with an angle of 45° with the horizontal with a velocity of 300 ft/s. Find the…
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Q: Find the launch angle for which the range and maximum height of a projectile are the same
A: maximum height of projectiles = range of projectiles are equal
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 projectile is fired from ground level at an angle of 8° with the horizontal. The projectile is to…
A: Given in question - Angle with horizontal(θ) = 8°…
Q: A projectile is fired at an angle a to the vertical. ts horizontal range will be maximum when a is
A: Expression for Range=u2sin2αg for initial velocity u, the range is maximum when sin gives maximum…
Q: What is the angle of projection for a projectile thrown parallel to the horizontal?
A: In projectile motion of a body the velocity can be resolved into vertical and horizontal components.…
Q: In archery, should the arrow be aimed directly at the target?How should your angle of aim depend on…
A: As the effect of gravity fall over the arrow, the arrow may move downward direction.
Q: Compute for the initial velocity of a projectile launched at 30 degrees with a range of 25m. If the…
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Q: What is the inclination of a projectile if the maximum height attained is equal to the corresponding…
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Q: A shot is fired at an angle of 45° with a horizontal and a velocity of 300 fps. Find the height and…
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Q: A ball is projected with velocity 10 m/sec at angle of 30° with the horizontal surface. The range of…
A: Given Ball velocity, v0=10 m/s Projectile angle, θ=300 The range of a projectile is the horizontal…
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- A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16What is the optimum angle that can reach the maximum range for a given projectile? Select one: a. 35 degree b. 45 degree c. 55 degree d. 65 degreeA rocket is landing vertically downward from a point 2 miles east of an observer on the ground. What is the speed of the rocket when the angle of elevation of the observer's line of sight to the rocket is 50° and is decreasing 5° per second?
- Consider a projectile being launched with an initial speed of 58 m/s at a variety of initial angles. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 78.3°?A projectile is fired from a cliff 190 feet above the water at an inclination of 45 degree to the horizontal ,with muzzle velocity of 45 feet per second. The height h of the projectile above the water is given by h(x)=-32x^2/((45)^2) +x+190 Where x is the horizontal distance of the projectile from the face of the cliff. (A) At what distance from the face of the cliff is the height of the projectile a maximum?What is the range of a projectile if the initial is 30 m/s at an angle of 300 from the horizontal?
- A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 105 m/s at an angle of 37º with the horizontal. (a) Determine the time taken by the projectile to hit the ground. (b) Determine the range of the projectile as measured from the base of the cliff. At the instant just before the projectile hits the ground, find (c) the horizontal and vertical components of its velocity, (d) the magnitude of the velocity, and (e) the angle made by the velocity vector with the horizontal.If you are standing on the free-throw line on a basketball court, the basket is about 4.5 m horizontally from you and it is located around 3m above the floor. What initial velocity vector is required to successfully throw the ball into the basket?What is the optimum angle at which a projectile should be launched in order to cover the maximum distance?
- A projectile is launched from the floor of a continuous horizontal plane. Vo = 24 m/s. The launch angle = 45 degrees. Find the max height reached, the time of flight and the range for this projectile.An object is thrown with a projectile motion and it is observed from the horizontal component that the velocity at its maximum altitude is Vx = 15m/s. The projectile travels a horizontal distance x = 3.00 x 102. Determine the angle of the throw.For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use thelarger angle? Why does the punter in a football game use the higher trajectory?