Question

In: Physics

A playground is on the flat roof of a city school, 6.00 m above the street...

A playground is on the flat roof of a city school, 6.00 m above the street below. The vertical wall of the building is 7.00 m high, forming a 1.00 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 53.0° above the horizontal at a point 28.0 m from the base of the building wall. The ball takes 2.10 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 distance from the wall to the point on the roof where the ball lands.
m

Solutions

Expert Solution

Part (a): The horizontal distance is x = 28.0 m, the launching angle is 53.0o and the time taken to reach that distance is t = 2.10 s. Thus the initial velocity can be calculated as,

Part (b): The vertical displacement is,

  

Thus the ball clears the wall by distance of,

Part (c): According to the path equation of motion of ball,

  

  

  

So the distance from the wall is,


Related Solutions

A playground is on the flat roof of a city school, 4.9 m above the street...
A playground is on the flat roof of a city school, 4.9 m above the street below (see figure). The vertical wall of the building is h = 6.40 m high, to form a 1.5-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...
A playground is on the flat roof of a city school, 6.5 m above the street...
A playground is on the flat roof of a city school, 6.5 m above the street below (see figure). The vertical wall of the building is h = 7.80 m high, forming 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...
A playground is on the flat roof of a city school, hb = 5.40 m above...
A playground is on the flat roof of a city school, hb = 5.40 m above the street below (see figure). The vertical wall of the building is h = 6.60 m high, to form a 1.2-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...
Children playing in a playground on the flat roof of a city school lose their ball...
Children playing in a playground on the flat roof of a city school lose their ball to the parking lot below. One of the teachers kicks the ball back up to the children as shown in the figure below. The playground is 5.50 m above the parking lot, and the school building's vertical wall is h = 6.90 m high, forming a 1.40 m high railing around the playground. The ball is launched at an angle of θ = 53.0°...
A flat cushion of mass m is released from rest at the corner of the roof...
A flat cushion of mass m is released from rest at the corner of the roof of a building, at height h. A wind blowing along the side of the building exerts a constant horizontal force of magnitude F on the cushion as it drops as shown in the figure below. The air exerts no vertical force. (A) Show that the path of the cushion is a straight line. (Submit a file with a maximum size of 1 MB.) (B)...
17) To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum...
17) To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes of...
A squirrel sitting on a peak of a roof which is 1.50 m above the bottom...
A squirrel sitting on a peak of a roof which is 1.50 m above the bottom of the roof and 4.50 m above the ground puts an acorn on the roof. It starts from rest at the peak and slides down the sloped roof (coefficient of friction = 0.150) which is angled at 25.0 degrees to the horizontal. After the acorn reaches the edge of the roof it flies off and becomes a projectile. You may ignore air resistance. Part...
A 6.00​-ft-tall man walks at 7.00 ​ft/s toward a street light that is 15.0 ft above...
A 6.00​-ft-tall man walks at 7.00 ​ft/s toward a street light that is 15.0 ft above the ground. At what rate is the end of the​ man's shadow moving when he is 10.0 ft from the base of the​ light? Use the direction in which the distance from the street light increases as the positive direction.
A hurricane wind blows across a 7.50 m × 11.2 m flat roof at a speed of 190 km/hr.
A hurricane wind blows across a 7.50 m × 11.2 m flat roof at a speed of 190 km/hr.a) Is the air pressure above the roof higher or lower than the pressure inside the house? Explain.b) What is the pressure difference?c) How much force is exerted on the roof?d) If the roof cannot withstand this much force, will it “blow in” or “blow out”?
The urban air above the city of Shanghai if the mixing height above the city is...
The urban air above the city of Shanghai if the mixing height above the city is 1210 m, the width of the box perpendicular to the wind is 105 m, the average annual wind speed is 15,400 m/hr, and the amount of sulfur dioxide discharged is 1375 × 106 lb/yr. Is this a conservative or non-conservative system? State all assumptions. Sketch a diagram to represent the system. Write the complete mass balance for SO2. Estimate the SO2 concentration in the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT