The velocity of an automobile starting from rest is given by the equation below, where v is measured in feet per second andtis the time in seconds. (Round your answers to three decimal places.) t) -. 95t 3t + 16 (a) Find the acceleration at 5 seconds. 15.323 x ft/sec (b) Find the acceleration at 10 seconds. ft/sec? (c) Find the acceleration at 20 seconds. ft/sec?

Q: The velocity of an automobile starting from rest is given by the equation below, where v is measured…

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Q: The velocity of an automobile starting from rest is given by the equation below, where v is measured…

A: GivenThe velocity of an automobile starting from rest is given by the equation below, where v is…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4t 11t…

A: We have to find velocity

Q: The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 4t³ – 28t…

A: Explained below

Q: The position of a hummingbird flying along a straight line in t seconds is given by S(t)=3t^3−28t…

A: Given: The position of a hummingbird flying along a straight line in t seconds is given by…

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…

A: First, find the time to reach the stone at the level of the top of the tower when it is thrown…

Q: The position of a particle is given by s(t) = t³ – 20.5t² – 2t, t > 0. When does the particle reach…

A: Given,           The position of a particle is given by st=t3-20.5t2-2t , t≥0.             The…

Q: A car rolls down a hill.Its distance (in feet) from its starting point is given by S(t)=1.5t2+4t ,…

A: The distance function is: S(t) = 1.5 t^2 + 4t (a) In 10 seconds the car will move: S(10) = 1.5(10)^2…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 5t³ – 12t…

A: The objective of the question is determine the velocity , acceleration and acceleration when…

Q: a projectile is fired striaght upward from the ground level (S0=0) with velocity (V0=160ft/s) use…

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4t° 11t…

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Q: . : The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 5ť³ –…

A: The position of a hummingbird flying along a straight line in t seconds is given by St=5t3-26t. In…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t - 15t…

A: Topic:- application of derivatives

Q: The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is…

A: Note that:-Velocity of a particle is given by differentiating distance d(t) with respect to (w.r.t)…

Q: Solve what is asked: The position of a particle is given by the equation 3(x+3t) 6(x+2), x is in…

A: 3x+3t=6x+2   3x+9t=6x+12          3x=9t-12             x=3t-4 1) The average…

Q: A car driving along a freeway with traffic has travelled s(t)=r' – 21² +9t + 28 meters in t second,…

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s (t) = 3t – 10t…

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Q: The distance d of a particle moving in a straight line is given by d(t) = 2t° + 5t – 2, where t is…

A: Please see the below picture for detailed solution.

Q: An object moving in a straight line travels s(t) kilometers in t hours, where s(t) = 2t2 + 4t. (a)…

A: Given that An object moving in a straight line travels s(t) kilometers in t hours, where st=2t2+4t.…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t³ – 9t…

A: Given problem:- The position of a hummingbird flying along a straight line in t seconds is given by…

Q: The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 6t – 26t…

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Q: The velocity of an automobile starting from rest is given by the equation below, where v is measured…

A: The given velocity function is  v(t) = 95t4t+12

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t-9t…

A: s(t)=2t³-9t meter  (a) Velocity=v(t)= d/dt(s(t)) v(t)=d/dt(2t³-9t) v(t)=6t²-9 Velocity at t=5 second…

Q: A particle moves along a straight line with equation of motion s = f(t) = 80 – 6t?, where s is…

A: In this question we need to find a velocity

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 6t³ – 13t…

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Q: B2 (b): The position of a hummingbird flying along a straight line in t seconds is given by S(t) =…

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Q: The equation for free fall at the surface of some planet (s in meters, t in secons) is s=3.94t^2.How…

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Q: 4. The position of a point on a line is given by the equation s(t) = t³ — 6t² +9t - 4, where s is…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: If a stone is thrown up at 16 meters per second from a height of 180 meters above the surface of the…

A: Find the acceleration

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) : = 6t° (a)…

A:

Q: ): The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t³ – 12t² –…

A:

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

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Q: If a rock is thrown upward on the planet Mars with a velocity of 10 m/s , its height ( in meters)…

A: We are given a displacement time equation of a object which is thrown upward in the surface of Mars.…

Q: If the position of an object is s(t)= 16+ 10.5t -4.9t meters from zero in t seconds, ther meters per…

A: The position of the object is s(t)= 16 + 10. 5t - 4.9t2 we have to find the velocity at t=2 sec. and…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 3t3 – 10t…

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Q: The displacement (in feet) of a particle moving in a straight line is given by  s = (1/2)t2 − 9t +…

A: Use instantaneous velocity concept

Q: An airplane traveling horizontally at 110 m/s over flat ground at an elevation of 5,000 meters must…

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Q: The position, in metres, of a particle moving in a straight line is given by the equation 30 s(x) +…

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Q: The velocity v (in feet per second) of a rocket whose initial mass (including fuel) is m is given by…

A: Given :  v=-gt + u lnmm-rt,   t<mrAlso given that :  g=32,…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 3t³ – 10t…

A: s(t)=3t3-10t(a)  v(t)=s'(t)=9t2-10       substitute t=1    v(1)=9(1)2-10          =9-10…

Q: Q2) An object falling from a roof has after t seconds a height h measured in feet given by h = 100 –…

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t- 9t…

A:

Q: The equation for free fall at the surface of some planet (s in meters, t in seconds) is s =9t^2. How…

A: Obtain the equation of the velocity as shown below: s=9t2vt=ddtsvt=ddt9t2vt=18t

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t3 9t…

A: The posotion of a hummingbird flying along a straight line in t seconds is given by st=2t3-9ta.…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t- 15t…

A: Solution: Here  s(t)=8t 3 - 15t

Q: The displacement, s in feet, of a particle moving in a straight line is given by s = 5t2 – 6t + 14,…

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4° – 11t…

A: Given that, the position of a humming bird flying along a straight line in t sec is given by…

Q: hummingbird

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Q: %3D The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 6t3 –…

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