-- 80 km/h Automobile FIGURE

Q: A plane leaves the airport flying due west at 440 mph while another plane leaves the same airport at…

A: Given that the plane A moves west at a speed of 440 mph Plane B moves South at a speed of 392 mph…

Q: A police car is located 70 feet to the side of a straight road. A red car is driving along the road…

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Q: A ladder 10 feet long is resting against a wall. If the bottom of the ladder is sliding away from…

A: Let the base be x  And the perpendicular be y and length of ladder=10 feet   dxdt=1 feet/sec…

Q: 10. A six foot tall man is walking toward a 10 foot tall light pole at a speed of two feet per…

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Q: Two cars leave the same point and travel on roads that are at right angles to each other. If the…

A: Let the distance travelled in 36 minutes by the first car A travelling at 45km/h is x and distance…

Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: A balloon leaves the ground 18m from an observer and rises vertically at 1.25 m/s. How fast is the…

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Q: A kite 160 feet above the ground moves in a direction parallel to the ground at the rate of 5 feet…

A: Let, x= the horizontal distance of the kite y=the length of the string Given that dx/dt=5 ft/sec  We…

Q: An airliner passes over an airport at noon traveling 510 mi / hr due east. At 1:00 p.m., another…

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Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road…

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Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A: The plane is flying at a constant altitude of 1 mile. Let x be the horizontal distance and y be the…

Q: A spotlight on the ground shines on a wall 12 m away. If a girl 1.2 m tall walks from the spotlight…

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Q: A ladder 20 feet long resting against a vertical wall has its top slip down the wall at a rate of 2…

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Q: A spotlight on the ground shines on a wall 12m away. If a man 2m tall walks from the spotlight…

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Q: A ladder 20 feet long leans against a vertical wall.  The bottom of the ladder slides away from the…

A: Given that, the length of the ladder is 20 feet & which lean against a vertical wall. The bottom…

Q: - An object travels 8 miles in 20 minutes at a constant speed. What is the obiect's speed in miles…

A: Object travels 8 miles in 20 mins 20 mins = 20/60 hrs = 1/3 hrs Then speed = dist / time

Q: Charlie is flying a kite with Lucy. The wind is blowing west at aconstant 8.8 ft/sec, while the kite…

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Q: A plane that is flying horizontally at an altitude of 7 kilometers and a speed of 680 kilometers per…

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Q: A police car is located 40 feet to the side of a straight road. A red car is driving along the road…

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Q: Two people start from the same point. One walks east at 2 km/h and the other walks northeast at 3…

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Q: Two boats leave a dock at the same time. One boat travels south at 30 mi>hr and the other travels…

A: Find the rate of change the distance between the boats.

Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

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Q: Elton John is standing 3 kilometers from a launchpad when a rocket blasts off. The rocket rises…

A: Differentiation of a variable is the rate of change of the variable. Differentiation of a function…

Q: A lady 1.65 meters tall walks towards a lamp post 2.65 meters high at a speed of 1.5 m/s. How fast…

A: Given: Height of lady=1.65 m Height of lamp post=2.65 m Speed of lady=1.5 m/s To find: Shadow of…

Q: Bikers A andB are traveling on perpendicular roads. At the same time, biker A is leaving the…

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Q: A man walks across a bridge at a rate of 4 fps as a boat passes directly beneath him at 8 fps. If…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: two ships leave port at the same time. one ship travels north at 37 mph and the other ship travels…

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Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

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Q: A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at the…

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Q: Starting from the same point, Reden starts walking eastward at 60 cm/s while Neil starts running…

A: To find out the rate of change if distance between Reden and Neil after 2 seconds.

Q: A girl starting at 11 A.M., travels east at 4 km/hr while a boy, starting at noon from the same…

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Q: 6. A 10-meter ladder is leaning against the wall of a building. It begins to slide down the wall.…

A: Given the length of the ladder is, 10 - meter. The rate at which the end of the ladder moving is 1…

Q: A police car is located 40 feet to the side of a straight road. A red car is driving along the road…

A: Given data:   The distance of the police car from the road is y=40 feet. The distance of the red car…

Q: 2. A motorist travels for 20km at one speed, and then increased her speed by 20 kph for next 30 km.…

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Q: A boy 1.6 metres tall is walking away from a lamp post 10 metres tall. if the boy is walking at the…

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Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

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Q: A 30-foot ladder is leaned up against a 2-story building with 8-foot floors. The bottom of the…

A: Consider the diagram below with marked information: Speed of change in base is 6 feet per second.

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs to first base with…

A: This question is based on application of  differentiation and Pythagoras theorem, We will solve it…

Q: 6. A child who is 4 feet tall walks at a speed of 2 feet per second away from a lamp post that is 15…

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Q: 37. A baseball player runs from home plate toward first base at 20 ft/s. How fast is the player's…

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Q: A 25-foot ladder is leaning against a house. The base of the ladder is pulled away from the house at…

A: Let x be the base of the ladder dxdt=3 feet/sec ladder = z = 25 feet x=7 feet y=252-72=24 feet

Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road…

A: Given: A police car is 60 ft side of the road. A red car is 200 ft up the road As we can see in the…

Q: A ladder 25 feet long is leaning against a vertical wall. If the bottom of the ladder is pulled…

A: A ladder 25 feet long is leaning against a vertical wall. The bottom of the ladder is pulled…

Q: A road perpendicular to a highway leads to a farmhouse located 2 mile away. An automobile traveling…

A: From given information

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A: We can sketch the situation roughly as follows. Here, CE and DF both are the positions of the…

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 mi. Because he…

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Q: 6) A cat is running straight toward a 8 foot tall brick wall at a rate of 4 feet per second.…

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Q: A woman rows a boat upstream from one point on a river to another point 4 mi away in 1 hours. The…

A: Given that a women rows a boat upstream from one point on a river to another point 4mi away in 112…