Let y(t) be the height (in meters) after time t (in seconds) of a rover that is landing on some other planet with the help of a parachute. Taking into account gravity and air resistance, physicists suggest that the air resistance is proportional to velocity. Further data suggests that the fall can be modeled by y"=-4-3y'. If the parachute is released at a height of 600m with an initial velocity of Om/s, what is its height after t seconds? What is its terminal velocity? y(t) = The terminal velocity is m/s. m/s

Q: 6. An ant crawls along a linear path with a velocity of v(t) = cos(3t) inches per minute. (a) What…

A: Given, Velocity of the ant  v(t) = cos(3t) Let's assume the initital position = x = 0  at time t = 0…

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A:

Q: A particle moves along a linear path and its displacement, relative to the start, is modeled by the…

A: In 2pi/3 seconds. displacement of the particle will be

Q: Can instantaneous velocity be defined as a ratio? If not, how is instantaneous velocity computed?

A: We know that instantaneous velocity is the average velocity between two points on the path in the…

Q: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

A: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

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A: To find the work required to empty the trough, you can use the principles of calculus and fluid…

Q: Calculate the centripetal acceleration (in m/s²) of a car traveling 23 m/s around a curved road with…

A: we know that the centripetal acceleration formula  centripetal acceleration = v2rwhere, V=velocityr…

Q: Suppose that we track the velocity of Prof.Watkins' car within the first 19 seconds it is traveling…

A: The distance traveled = Area under velocity time graph = Area as per right end point aproximation

Q: A kite glides horizontally at an altitude of 20 m while we unspool the string. Consequently, the…

A: This question can be solved using the concept of rate of change of physical quantities.

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A:

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: Vehicle A is headed due west from a fixed point P at a rate of 45 miles/hour. Vehicle B is headed…

A: