A playground is on the flat roof of a city school, hb = 4.80 m above the street below (see figure). The vertical wall of the building is h = 6.10 m high, to form a 1.3-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of θ = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched.  m/s (b) Find the vertical distance by which the ball clears the wall.  m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands.  m

Q: 19. What is the optimum angle that can reach the maximum range for a given projectile? Select one:…

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

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Q: For the vectors u=i+3j+2k and v=2i−2j+2k calculate  projvu and scalvu

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Q: Consider three displacement vectors A* = (3x - 3ý ) m, B* = ( – 4ỹ ) m,and C* = (-2x + 5ý ) m. The…

A: The displacement vectors are given as A→=3x^-3y^ mB→=x^-4y^ mC→=-2x^+5y^ m

Q: In the Projectile experiment, the projectile was fired horizontally with an initial velocity (Vo)…

A: Required : Slope of the graph

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Q: Consider the two vectors,A = 14x + 35.5y B = 5.2x - 24.5y. What is the magnitude of 3A+B

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Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: Given,A = 2.0i - 4.0j + 1kB = 3.0i + 4.0j + 10.0k C = -3.0i - 4.0jD = -3.0i + 4.0jE = -2.0i + 3.0j +…

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: In one contest at the county fair, a spring-loaded plunger launches a ball at a speed of 3.1 m/s…

A: Given data: Launching speed of ball, vo=3.1 m/s Elevation of board, ϕ=20o Range, R=2.2 m

Q: Given two vectors A = 6i + 9j – 7k and B = –123 – 5k, the magnitude of the vector sum is:

A: Given data:  Two vectors  A = 6i + 9j - 7k B = -12j - 5k Required: The magnitude of the vector sum

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

Q: Given two vectors A = (3i – 2j + 5k) and B = (6i – 7j + 4k) find: (a) A²; (b) B²; %3D (c) (A - B)?.

A: Given that vector A→ = 3i^-2j^+5k^ Vector B→ = 6i^-7j^+4k^

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…

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A: Given that                    The angle of the projection (θ) = 30°.                    initial…

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: 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…

A:

Q: Given: u = K-4, -1>, v= , W = , and z = . Based on the components of the given vectors, match the…

A: Given vectors                                     u = -4,-1v = 0,-3w = 1,-1z =4,2 Now we have to…

Q: A particle is launched from the origin in R^3 with initial velocity v(0) =  and undergoes constant…

A: The initial velocity of particle is given as: v→=0i^ + 8j^ + 10k^Constant acceleration is given by:…

Q: a heavy piece of machinery is raised by sliding it a distance d = 12.5 m along a plank oriented at…

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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: The three vectors in the figure have magnitudes a= 3.20 m, b 2.70 m, and c 10.3 m and angle 0=…

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Q: For the following three vectors, what is 50 (2 x B)? A = 2.00î + 3.00ĵ – 6.00k B = -3.00î + 2.00ĵ +…

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Q: For the following three vectors, what is 3C · (2 A✕B )?  A= 2.00i + 3.00j − 7.00k  B= −3.00i +…

A: Given, A→=2i^+3j^-7k^B→=-3i^+7j^+2k^C→=3i^-8j^ So we have, 3C→=33i^-8j^=9i^-24j^ and…

Q: For the following three vectors, what is  3⋅C→⋅(2A→×B→)…

A: (2A X B) can be calculated as follows,

Q: A rifle that shoots bullets with a muzzle speed of 1461 m/s is aimed at a target 807.0 m away. If…

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Q: What is the angle between theses two vectors A = 14i – 5j+11k and B= 3i + 7j + 10k ?

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Q: For the following three vectors, what is 3 · Ć · (2Á × B ) ? = 4.00î + 3.00ĝ – 4.00k B = -3.00î +…

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Q: A ground-to-ground projectile is shot with an initial velocity of 19.7 m/s at angle 78.3 degrees,…

A: Given that  Initial velocity of projectile is  u=19.7 ms  and projectile angle is  θ=78.30

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Q: Consider three displacement vectors A = (3x - 3ý) m, B = (- 4y) m,and C = (-2x +5) m. The magnitude…

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Q: Compute the x- and y-components of the vectors vec A vec B , vec C , and overline D in the Figure

A: To determine x-  and y-components of the vectors vec A vec B , vec C , and overline D as shown in…

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Q: Given the two vectorsA=-8i,-4j,-6k and B=2i,+3j,-7k, find (a) A+B, (b)A-B, and (c)-4A (d)A•B (e)AxB…

A: Given:

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A: magnitude of velocity in each case = 18.54 m/s

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A:

Q: results from (a) d→1⋅(d→2+d→3), (b) d→1⋅(d→2×d→3), and d→1×(d→2+d→3

A: As per rules... First three parts are posted.

Q: 19. A playground is on the flat roof of a city school, 6.00 m above the street below (Fig. P3.19).…

A: (a) The horizontal displacement of the ball, Rewrite the above equation for the initial speed of…

Q: Three vectors are given by a = 5.00î + (-4.00)ĵ + (5.00)k, b = 2.00î + (-1.00)ŷ + (3.00)k, and ? =…

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Q: An airplane releases a ball as it flies parallel to the ground at a height of h= 285 m as shown in…

A: It is a projectile motion time taken in moving from h height above to bottom is equal to the time…

Projectile Motion