A projectile is fired with an initial speedof 500 m / sec at an angle of elevation of 45. What is the greatest height reached by the projectile?

Q: An airplane is moving horizontally at 150 mph over an observer at a height of 4,000 ft. How fast is…

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Q: A 20-foot-tall tree has fallen against the wall of a garage. The base of the tree starts to slide on…

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Q: The relative error in reading a galvanometer is given by tanx + cotx, where x is the angular…

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Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: Follow the procedure given below.

Q: A jet climbs at a steady rate at an angle of inclination of 0.5° during take-off. What will its…

A: Given that: Angle of inclination, ∅=0.5°Initial ascent = 2.2 km

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: When a rocket is 8 kilometers high, it is moving vertically upward at a speed of 600 kilometers per…

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Q: A ladder that is 3 meters long is leaning against a wall. The base of the ladder slides away from…

A:

Q: A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins to slide…

A: Given that A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins…

Q: A plane flies at a speed 540 km/hr at a constant height of 10 km. How rapidly is the angle of…

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Q: A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude…

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Q: Suppose the velocity of an object moving along a line is positive. Are displacement and distance…

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Q: Suppose I throw a baseball with an initial velocity of 80 ft/sec at an angle of 30 degrees to the…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Given thatLadder length = 10 ftDistance of ladder from the bottom of wall = 6 ftRate of change of…

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: When a rocket is 7 kilometers high, it is moving vertically upward at a speed of 100 kilometers per…

A: Given:When a rocket is 7 kilometers high, it is moving vertically upward at a speed of 100…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A:

Q: An explosion is recorded by two microphones that are 2 miles apart. Microphone M2 received the sound…

A: Given that:M1 and M2 are the two microphones.The two microphones are 2 miles apart.Sound travels at…

Q: A balloon was rising vertically in the air from the ground level that was 12 feet away from an…

A: Given,  a balloon was rising vertically in the air from the ground level that was 12 feet away from…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: A bird 150 ft above the ground flies horizontally at a speed of 11 ft/s. At what rate is the angle…

A: Given Data: The height of the bird above the ground is: y=150 ft The speed of the bird is: x'=11…

Q: A bullet is fired into the air with an initial velocity of 1,800 feet per second at an angle for 45°…

A: From the given data :

Q: An arrow is shot into the air so that its horizontal velocity is 25 feet per second and its vertical…

A: Given : horizontal velocity is 25 feet per second and vertical velocity is 15 feet per second. we…

Q: A plane flying with a constant speed of 9 km/min passes over a ground radar station at an altitude…

A:

Q: When a rocket is 6 kilometers high, it is moving vertically upward at a speed of 600 kilometers per…

A: Set the height of the rocket be h and angle of elevation from the observer's eye is x. dhdt=600

Q: 6. A soccer ball is kicked at an angle of 60 from the ground. If the velocity of the ball is 110…

A: Consider the given angle as 60°

Q: The second gear in a single-stage gear train has 6 teeth and an angular velocity of 90 rev-olutions…

A: Given that The second gear in a single-stage gear train has 6 teeth and an angular velocity of 90…

Q: A 13-ft ladder is leaning against a house when itsbase starts to slide away. By the time thebase is…

A: Given: length of ladder, L=13 ft distance from base, x = 12 ft dxdt=5 ft/sec

Q: When a rocket is 10 kilometers high, it is moving vertically upward at a speed of 1000 kilometers…

A: To determine the rate of change of angle of elevation with respect to observer.

Q: A boy is flying a drone at a constant height of 28 m above the ground. If the drone is moving…

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Q: An object is shot vertically upward from the ground with a velocity of 160 ft/sec. Find the maximum…

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Q: A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming…

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Q: A figure skater is sponning with her arms outstretched at an angular velocity of 76.4 revolutions…

A: Consider the given angular velocity  ω=76.4revolutionminute and radius r=90cm Convert unit…

Q: A cannon is fired at an angle of 75° with the ground at an initial velocity of 250 m/s. Calculate…

A: We know that if a cannon is fired at angle of θ with the ground at initial velocity is u meter per…

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Given a ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away…

Q: A baseball is thrown from the stands 25 ft above the field at an angle of 40" up from the horzontal.…

A: Given that a baseball is thrown in projectile motion from the stand of height 25ft. at an angle with…

Q: A ladder 15 ft. long leans against a vertical wall. If the top slides down at 2 ft/sec, how fast is…

A:

Q: A baseball is hit from a height of 3.2 feet above the ground with an initial velocity of 178 feet…

A:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: A point on a circle travels 5 centimeters in 2 seconds. Find thelinear velocity of the point.

A: Given: A point on a circle travels 5 centimeters in 2 seconds. To find: Linear velocity of the…

Q: A ball is shot from the ground straight up into the all velocity of 48 ft/sec. Assuming that the air…

A: Given that  Initial velocity=48 ft/sec To find How high does the ball goes.

Q: A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude…

A:

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

A: given data  constant speed = 24 km/min             altitude = 12 km             angle = 25 degrees…

Q: a television camera is positioned o the ground 4000 feet from the base of a rocket launching pad. If…

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Q: A projectile is fired vertically upward from ground level with a velocity of 250 ft/sec.…

A:

Q: A plane flying with a constant speed of 19 km/min passes over a ground radar station at an altitude…

A:

Q: A rocket is launched from an initial height of 50 feet from the ground. It has an initial upward…

A:

Q: A cannon is fired at an angle of 75° with the ground at an initial velocity of 250 m/s. Calculate…

A: To find the speed

Q: A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.