A car's distance in miles from its destination at time t is given by d = 360 - 55t How fast is the car traveling per hour?

Q: 1. Aman 6 ft tall is walking at the rate of 3 ft/s toward a streetlight 18 ft high (see Figure 1).…

A: Given that dxdt=3 ft/slet height of streetlight = AB=18 ftheight of man DE =6 ft b.  dydtin ∆ABC…

Q: Q4. A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the…

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Q: At what rate is the distance between the planes changing? mph (b) How much time does the controller…

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Q: The position of a moving object is s(t)=t^3-2t^2-8t+5 feet away from 0 at t minutes. How long, in…

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Q: If a ball is thrown into the air with a velocity of 34 ft/s, its height (in feet) after t seconds is…

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Q: The length of a rectangle is given by 4t + 9 and its height is √t, where t is time in seconds and…

A: Given:

Q: The length of a rectangle is given by 2t + 5 and its height is Vt, where t is time in seconds and…

A: In the given question the length and height of the rectangle are given:   The area of the rectangle…

Q: Q4. A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the…

A:

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

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Q: A rock is dropped from a height of 85.4m and falls toward Eart in a straight line. In t seconds the…

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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: The velocity of a moving object is v(t)=2t +/t in meters per second. What is its displacement, in…

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

A: At t sec after lift off, the height of a rocket is 3t2 ft. Let f(t)=3t2

Q: A rocket can rise to a height of h(t) = + 0.6t2 feet in t seconds. Find its velocity and…

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Q: An object is moving so that it's velocity after t hours is v(t)=te^-t^2 mph. How far does it travel…

A: Hey the equation of velocity that you have written is v(t)=t·e-t2mph following is the solution to…

Q: Suppose a particle’s position is given by f (t) = −2 / t, where t is measured in seconds and f (t)…

A: Given: ft=-2t

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: A weight W is attached to a rope 50 ft long which passes over a pulley at P, 20 ft above the ground.…

A: Given: - A weight W is attached to a rope 50 ft, long which passes over a pulley at P, 20 ftabove…

Q: With time t in seconds, the velocity of a bicycle, in feet per second, is given by At) = 4t. How far…

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Q: 1. An arrow is shot vertically up into the air with an initial vertical velocity of 60 m/s, and its…

A: Given; Initial velocity=60m/s   h=-5t2+60t.

Q: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…

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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: 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: The acceleration of a particle is given by a = 8 t, where “a” is in meters per second squared and…

A: We will solve the problem

Q: During a certain 12-hour period the temperature at time t (measured in hours from the start of the…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15 m/ s  , its height…

A: Given that a rock is thrown vertically upward from surface of Mars with velocity 15 m/s. Its height…

Q: The radius r of a sphere is increasing at a rate of 4 inches per minute.

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Q: A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn…

A: Given: The rope is drawn in over a pulley 5 feet higher than the bow at the rate of 2 feet per…

Q: A particle moving along a straight line has a velocity of v(t) = t² e-t feet per second after t sec.…

A: Given: A particle moving along a straight line has a velocity of v(t)=t2e-t feet per second after t…

Q: A rocket rising from the ground has a velocity of v(t)=2,000 te-t/180 ft/s, after t seconds. How far…

A: Given thatThe velocity of the rocket rising from the ground is

Q: The velocity of a moving object is V (t)=2t +/t in meters per second. What is its displacement, in…

A: We have to find displacement

Q: c) Suppose a car drives at a speed of (5+ 3t ) m/s where t is time in seconds. How far did the car…

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Q: The velocity, v m/s of a ball thrown directly up in the air is given by ? = 20 − 10?, where t is the…

A: Soln :-         V = 20-10t            The time (t) when V is between 5 and 15 m/s.…

Q: If the velocity of a moving object is v (t)=t- 2 in meters per second, then what is its…

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Q: .A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 ft/sec. Use…

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Q: If f'(t)=2t is a production rate, measured in items per hour, then how many items were produced from…

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Q: j. A boat that arrives at a dock 20 ft above water level is being pulled in by a fisherman using a…

A: Given: Height of boat above water level=20 ft……1Length of rope=50 ft……2Rate at which boat is pulled…

Q: on the moon, the acceleration of a free falling object is a(t) = -1.6 meters per second per second.…

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Q: 2. Leanne is travelling at 13 km/hr. Fernando is moving at 3-5 m/s. Who is travelling faster?

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: If a ball thrown into the air with a velocity of 41 ft/s, its heigh (in feet) after t seconds is…

A: Given that a ball thrown into the air with a velocity of 41 ft/s, its height (in feet) after t…

Q: It is estimated that between the hours of noon and 7:00 PM, the speed of a highway traffic flowing…

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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: 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: The height of a triangle is increasing at a rate of 2 [cm/min] and its area at a rate of 2 [cm²/…

A: It is given that height of triangle is increasing with a rate 2 cm/min and area with a rate 2…

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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Q: The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3…

A: the volume of the sphere is given by ..............(1)

Q: A particle that moves along a straight line has velocity v(t) meters per second after t seconds. How…

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Q: Suppose that a turtle is moving along a straight line, and its displacement s(t) at any given time t…

A: Given data: The expression for the displacement is s(t)=(t-√(t2+3)+√3). The given interval is [a,…

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15m/s , its height after…

A: Given: If a rock is thrown vertically upward from the surface of Mars with velocity 15m/s, its…