1. A Meralco worker left a ladder 5 m long leaning against a concrete vertical post. If the bottom of the ladder is pulled horizontally away from the post at 3 m. how fast is the top of the ladder sec sliding down when the bottom is 4m from the base of the post.

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at…

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Q: 1. A 13-m ladder is placed against a building to reach a window that is 5 m above the ground. How…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: 5. A kite 100 feet above the ground is being blown away from the person holding its string in a…

A: So, here x2+1002=s2...(1) Given dxdt=10 Now, at s=200, from (1):…

Q: If 6 J of work is needed to stretch a spring from 13 cm to 15 cm and another 10 J is needed to…

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Q: A rod of length 2m is connected at its ends to perpendicular sliders so that moving one end also…

A: Let y m be the height of the slider and x m be the foot of the rod away from the slider. Then,  by…

Q: A kite is 40 ft. high with 50 ft. of cord out. If the kite moves horizontally at 5 mi. per hr.…

A: Draw the position of kite as shown below.

Q: If 6 J of work is needed to stretch a spring from 10 cm to12 cm and another 10 J is needed to…

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Q: In order to kill a bird 20m up in the air, a boy uses his catapult to shoot a pebble vertically…

A: given that  bird is at h=20m up in the air. a boy uses his catapult to shoot a pebble vertically…

Q: 2. A water heater that has the shape of a right cylindrical tank with a radius of 2 ft and a height…

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Q: 1. A ladder 8 m long is leaning against a wall. If the bottom of the ladder is pulled horizontally…

A: We will draw figure and use differentiation  to find rate of change . Note . Only one question…

Q: If the work required to stretch a spring 5 feet beyond its natural length is 15 foot-pounds, how…

A: first, we need to find the spring constant  W=∫0a fxdx here we have W=15 and a=5 feet 15=∫05 fxdx…

Q: Suppose that 2 Joules of work is needed to stretch a spring from its natural length of 40 cm to a…

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Q: A force is applied to a particle, which moves in a straight line, in such a way that after each…

A: A geometric series is convergent if common ratio is less than 1. Sum of infinite geometric series is…

Q: A ladder 10 m long is leaning against a vertical wall. If the bottom of the ladder is pushed…

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Q: A ladder is to be constructed with 16 rungs whose lengths decrease uniformly from 20 inches at the…

A: Given: Total number of rungs=16. Length decreases uniformly from 20 inches at the base to 16 inches…

Q: 3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a…

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: A baseball diamond has equal sides of 90 ft in length and each pair of adjacent sides are…

A: We will use vector projection and project the velocity vectors of B and C along the line joining…

Q: A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same…

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Q: A conical water tank with vertex down has a radius of 10 ft at the top and is 24 ft high. If water…

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Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3…

A: Follow the procedure given below.

Q: If the volume of a cube is increasing at a rate of 24 in'/min and each edge is increasing at 2…

A: The volume of cube is given by V=a3 where a edge of cube. Given that volume of cube increasing at a…

Q: A ball returns two-thirds of its preceding height on each bounce.  If the ball is dropped…

A: Here, the ball is dropped from a height of 6 m., it will rebound to a height of 23rd of initial…

Q: 17. On a highway with a steep incline, the runaway truck ramp is constructed so that a vehicle that…

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Q: A pizza is being divided into three unequal slices (sectors). The largest slice has an arc measuring…

A: An Arc of a circle is any portion of the circumstance of the circle.…

Q: If the work required to stretch a spring 0.25?? beyond its natural length is 12 ?? − ??, how much…

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Q: A simple pendulum, consisting of a mass of 8.237 kg, is attached to the end of a 2.68 m length of…

A: To calculate the speed of the mass (in m/s) at the bottom of the swing. Given that: Mass = 8.237 kg…

Q: a plant is growing expotentially, inityially is 8cm tall and 4 days later it is 12 cm tall, how long…

A: Given, The initial height of the plant is 8cm 4 days later the plant height is 12cm How long it…

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: A tennis ball is dropped from a height of 8ft. If the ball rebounds 3 over 4 of its height on each…

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Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light,…

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Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are…

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Q: 4. A steel girder 27 ft long is to be moved on rollers along a passageway 8 ft in width and into a…

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Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

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Q: 29. A kite 100 feet above the ground is being blown away from the person holding its string. It…

A: Solution Let initially  kite was at position A while person holding Kite was at position O such that…

Q: If the work required to stretch a spring 3 ft beyond its natural length is 12 ft-lb, how much work…

A: Given: If the work required to stretch a spring 3ft beyond its natural length is 12 f- b how much…

Q: 1. Air is being pumped into a spherical balloon at a rate of 4 cm3/min. How fast is the radius of…

A: 1. Given:   The rate at which air is pumped into the spherical balloon = 4 cm3/min   Diameter of the…

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 30 feet high. If…

A: Given,            A conical water tank with vertex down has a radius of 13 feet at the top and is 30…

Q: A trough is 14 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A: It is required to find the rate at which water level is rising in the given trough whose sides are…

Q: 5. must the ball be launched to land 450 ft from the base of the building? A golf ball is hit in a…

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Q: A ladder of length 5 m rests against a vertical wall. If the base of the ladder is pulled away from…

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Q: One of the sides of a parallelogram is increasing at a rate of 10cm / s and one of the adjacent ones…

A: According to the given information, first draw the parallelogram.

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 28 feet high. If…

A: Let V be the volume of the water and d be the depth of the water. Then, the volume is given by,…

Q: the minute hand of a clock is 15 mm long and the hour hand is 12 mm. How fast is the distance…

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Q: 2. A ladder 12 m long is placed so that its front is 3 m from a building. How far must the foot of…

A: This question can be solved by applying the concept of Pythagoras theorem.

Q: A ladder 7 m long leans against a wall so that the foot of the ladder is 2 m from the wall. How far…

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Q: A baseball diamond has the shape of a square with sides 90 feet long.  Suppose that player A is the…

A: Use Pythagoras theorem

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate…

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Q: 2. Ship A is 15 miles east of O and moving west at 20 mi/hr, ship B is 60 miles south of O and…

A: Given : Ship A is moving west at 20 mph and ship B is moving north at 15 mph

Q: Find how fast the area of a triangle increases as the length of the base of the triangle increases…

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