At t sec after liftoff, the height of a rocket is 3t2 ft. How fast is the rocket climbing 10 sec after liftoff?

Q: A spotlight on the ground is shining on a wall 20m away. If a woman 2m tall walks from the spotlight…

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Q: A streetlight is mounted at the top of a 16 foot pole. An 8 foot tall Sasquatch walks away from the…

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Q: A ladder 17 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

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Q: Sketch the situation If necessary and use related rates to solve. Kvita A 14 ft ladder is leaning…

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Q: A Conical Cup is 4cm across and 6cm deel. Water leaks cut of the bottom of the cup cit a rate of…

A: Consider the given information. The diameter of the cup is 4 cm. r=d2=42=2 cm The height is 6 cm.…

Q: A spotlight on the ground is shining on a wall 12m away. If a woman 2m tall walks from the spotlight…

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Q: 3. A light at eye level stands 20 ft from a house and 15 ft from the path leading from the house to…

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Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

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Q: A lamp post 3m high is 6m from a wall. A man 2m tall is walking directly from  the post toward the…

A: Given:- The given lamp post 3m high is 6m from a wall The given man's height is 2m The man is…

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: At noon Ben is Ikm west of Jerry. Ben is heading South at a due rate of 4 km/h and Jeny heads East…

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Q: A 25ft ladder is sliding down a wall at -6ft/s. How fast is the bottom of the ladder sliding out…

A: Given, Length of ladder= 25 ft  Rate of sliding down = -6 ft/s  We have to find how fast is the…

Q: Stephanie is standing atop at 13 ft ladder. The ladder is leaning against a vertical wall. The…

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Q: A surveyor is walking at the rate of 4 ft/sec along the diameter of a circular courtyard. A light at…

A: The radius Courtyard be a using in polar coordinates  r as a function of θ. Now, the equation of…

Q: A 17 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Given, length of ladder = 17 ft But given that ladder is leaning against a wall ⇒  the ladder and…

Q: Assume the accleration of the object is a(t) = −32 feet per second per second. (Neglect air…

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Q: At t sec after liftoff, the height of a rocket is4t2 ft. How fast is the rocket climbing 7 sec after…

A: We have the height of the rocket as a function of time after liftoff as h(t)=4t2 Now h'(t)=4·2t=8t

Q: Q1/ Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

A: Solution:

Q: A TV camera is situated 100 m from the site of the Endeavour launch The rocket's elevation t seconds…

A: Given: Distance between TV camera and Endeavour launch is 100 m. Rocket's elevation after t second…

Q: The radius of a circle is increasing at a rate of 2cm/s. How fast is the area of the circle…

A: We have given the rate of increasing the radius of a circle is i.e. dr/dr= 2cm/s

Q: 8. A street light hangs 24 ft. above the sidewalk. If a man 6 ft. tall walks away from the light at…

A: We can find the required as answer as below.

Q: t is 3 meters above the ground? 6. A spherical balloon is being inflated at the rate of 350 cm /min.…

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Q: 4. A basketball player is 7 feet tall walking away from a light that is 28 feet above the ground at…

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Q: On a morning of a day when the sun will pass directly overhead, the shadow of a 60-ft building on…

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Q: An object is thrown downward, with an initial speed of 16 ft/s, from the top of a building 320 ft…

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Q: A 9.5 meter ladder is leaning against the wall. The bottom of the ladder is being pulled…

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Q: A spherical snowball melts at a rate of 2 cubic centimeters per hour. How fast is the radius…

A: We know that the volume of a spherical snowball is v = 43πr3 where v is the volume and r is the…

Q: 0. A plastic container in the shape of a cylinder is being filed with coconut juice at the rate of…

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Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Topic:- calculus

Q: A child flies a kite at 90ft. The wind is carrying the kite horizontally away from the child at a…

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Q: A 17 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

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Q: Marlon sees his crush 120 ft to his east. He then runs eastward at 12 ft/s. If his crush is walking…

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Q: A bicyclist accelerates at a constant rate from a standstill to 15 km/hr in 90 sec. a) How fast is…

A: a) Consider the given information: u=0 km/hrv=15 km/hrv=15 ×10003600m/sv=4.17m/st=90sec From…

Q: The angle of elevation of the sun is decreasing atrad/h. How fast is the shadow cast by a tree 10 m…

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Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: From the given problem the representative diagram is as shown below. Apply the Pythagorean theorem:…

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

A: Diagram of the given question will be as following x is the distance of the man from pole y is the…

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Let y be the distance from top of the ladder to the ground And X be the distance from foot of the…

Q: Q3: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at…

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Q: A duck is 6 feet north and 8 feet east of a buoy. He is swimming due east at a rate of 3ft/sec. How…

A: Consider the value of x=3ft/sec. A duck is 6 feet north and 8 feet east of a boy. We have to find…

Q: QI: A conical tank with 3 m height, and 1.2 m radius initially is filled with water. If the water…

A: Given data: The given height of the cone is H=3 m. The given radius of the cone is R=1.2 m. The…

Q: You are videotaping a race from a stand 132 ft from the track, following a car that is moving at 180…

A: To  Determine: How fast will your camera angle u be changing when the car is right in front of you?…

Q: a girl flies a kite at a height of 300ft. the wind carrying the kite horizontally away from her at a…

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Q: A car braked with a constant deceleration of 16 ft/s², producing skid marks measuring 50 ft before…

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Q: At 1 PM, a car drives from A towards C (see figure) at 30 mi/hr. Another car starting from B at the…

A: Given: x=40×1=40 milesdxdt=40 miles/hourdydt=30 miles/houry=30 miles   To find: how fast the…

Q: A man walks along a straight path of 4m/s. A searchlight is located on the ground 25m from the path…

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Q: The deck of a bridge is suspended 295 feet above a river. If a pebble falls off the side of the…

A: The deck of a bridge is suspended 295 feet above a river. If a pebble falls off the side of the…

Q: ositioned 4 meters higher than the boat. If the rope is being pulled in at a rate of 3m/sec, ow fast…

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Q: A rock thrown vertically upward fromthe surface of the moon at a velocity of 24 m/sec (about 86…

A: Given, A rock is thrown vertically upward from the surface of moon with velocity 24 m/sec. The…

Q: A man 6 ft tall is walking at the rate of 3 ft/s tov streetlight 18 ft high (see the accompanying…

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Q: 13-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of 4…

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