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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: ots a ball, giving it a velocity of 100 ft/s at 40 degree angle to the horizontal. One second after…

A: GivenInitial velocity of ball, u=100 ft/sAngle with horizontal, θ=40°

Q: During a tennis match, a player serves the ball at 23.6 m/s, with the center of the ball leaving the…

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Q: In a live fire exercise, an Army artillery team fires an artillery shell from a howitzer. The barrel…

A: Given data: Angle above the horizontal, θ=540 Initial velocity of the shell,  u=350 m/s  Time taken…

Q: A projectile ( gi) is to be launched (a) above the horizontal direction such that its range (R)…

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Q: velocity v at an angle 85. of 30.° above the horizontal. Projectile B is fired with velocity v at an…

A: 85.

Q: A rifle is aimed horizontally at the center of a large target 59 m away. If the distance from the…

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Q: a projectile is fired from the origin at t 0 with a positive v component, the maximum Hight h can be…

A: Given:- A projectile motion of the object is given in the figure  Find:- For the maximum height,…

Q: If C = 8 m at 53°, and D = 19 m at 147°, what is the magnitude of the sum of these two vectors (in…

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Q: A rifle that shoots bullets at 456 m/s is to be aimed at a target 42.7 m away. If the center of the…

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Q: An airplane has been directed to fly in a clockwise circle, as seen from above, at constant speed…

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Q: A bullet is fired with initial velocity of 100 m/s from the hill at point P at an angle of 30° with…

A: Given: The initial velocity (u) of the projectile is 100 m/s. The angle (θ) made by the projectile…

Q: What is the angle with respect to the ground at which you throw a projectile, with constant gravity…

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Q: A shot is fired with an angle of 45° with the horizontal with a velocity of 300 ft/s. Find the…

A: Given data:  Angle with horizontal (θ) = 45° Initial velocity (u) = 300 ft/s Required: Maximum…

Q: the vertical component for a projectile with angle inclined on the horizontal during time of flight…

A: In projectile motion, the vertical component of acceleration is not zero but equals to g,…

Q: a bullet is fired with initial velocity of 100 m/s from the hill at point p at an angle of 30° with…

A: Given: Intial velocity of bullet = 100 m/s Angle of projectile = 30 degree Bullet strikes lower than…

Q: A projectile (i) is to be launched (3la) above the horizontal direction such that its range (R)…

A: Answer:- (D) 53.10 We know that  Horizontal Range (R) = (u2Sin2A)/g  Maximum height (H) = (u2…

Q: You kick a ball with an intial velocity whose magnitude is 38.9 m/s and whose direction is 8°. How…

A: Given data:  Initial velocity (v0) = 38.9 m/s Angle (θ) = 8° Required: Horizontal Range (R)

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: A projectile is launched at a height of 20 m at an angle of 40 degrees, with what speed must it…

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Q: A projectile is fired from the edge of a 180-m cliff with an initial velocity of 150 m/s at an angle…

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Q: Projectile A is fired with a velocity v at an angle of 30. with the horizontal. Projectile B is…

A: The expression to solve for the horizontal component of the velocity of a projectile is as follows:…

Q: A ball projected with an initial upward velocity component of 30 m/s and a horizontal velocity…

A:

Q: A particle starts from the origin at t = 0 and moves on the xy plane with a velocity as a function…

A: Given information: The velocity function is v(t)=3t2 i^+2t+1 j^

Q: 0, y 0) 44. A projectile is launched from the point (x QC with velocity (12.0î + 49.0 j) m/s, at t =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 85. Projectile A is fired with velocity v at an angle of 30.° above the horizontal. Projectile B is…

A: Note: As per the guidelines, we can only answer three MCQ questions.Sorry for the inconvenience. For…

Q: If the cannon is on ground level (delta y = 0), how far downrange will the projectile land? Given…

A: It is mentioned that , cannon is on ground level. initial velocity   vi =19 m/s. the angle of…

Q: A projectile is launched at an angle of 300 above the horizontal. Neglecting air resistance, what…

A: A projectile is launched at an angle of 300 above the horizontal. Neglecting air resistance, what…

Q: Suppose a cannon, placed on a moving cart with negligible friction in the wheel bearings, projects a…

A: In this situation: A cannon is placed on a moving cart with negligible friction in the wheel…

Q: A ballistic rocket is fired with a speed equal to its escape velocity, so its trajectory is a…

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Q: The helicopter is tracked by radar. The readings at a certain instant are R = 2500m, 0 = 35°, and è…

A: deriving the velocity vector equation in polar form er=∂r→∂r∂r→∂rr→=xi^+yj^=r cosθ i^+rcosθ…

Q: A baseball is hit at an angle 0 and travels along a parabolic arc before it strikes the ground.…

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Q: a projectile is fired from the origin at t 0 with a positive v component, the maximum Hight h can be…

A: Given data:  Initial velocity = Vi Angle with horizontal = θi Required: value of θ when Height h is…

Q: Given vi = 18 m/s,  (delta) y = - 10m Angle degree = 0, launch horizontally 1) What is (delta) x?…

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Q: A projectile is launched from point A with an initial speed v, = 100 ft/sec. Determine the minimum…

A: Given: Initial velocity=v0=100 ft/sec x-component of velocity=100cosα y-component of…

Q: A projectile is fired with an initial speed of 75.2 m/s at an angle of 34.5° above the horizontal on…

A: (a) The components of the initial velocity(u) of projection is,  (i) The horizontal component,…

Q: Suppose you fire a projectile from a cliff side with a horizontal component of velocity given as 30…

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Q: Suppose a projectile is fired from a cannon with velocity vo and angle of elevation 0. The…

A: The given data:   The initial velocity v0 = 160 ft/s The distance of the target R0 = 519 ft

Q: In a live fire exercise, an Army artillery team fires an artillery shell from a howitzer (a…

A: Angle of projectile:   Velocity of the projectile: v = 370 m/s Time of projectile: t = 39.0 s

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…

A:

Q: a cannon is used to provide the initial launch of a 400,000 kg rocket at an angle of 40° from the…

A: solution

Q: A certain projectile is launched with an initial speed v0. At its highest point its speed is 1/2v0.…

A: At highest point, only x component of the velocity is present,

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…

Q: An object is shot from the edge of a cliff 125m above the ground level with an initial speed of…

A: Given that, Height of cliff = 125 m The object is shot with an initial speed of 105m/s at an angle…

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.