Engineers have determined that the maximum force t in tons that a bridge can rry is related to the distance d in meters between its support, and is represented y the function t(d) = (3. If the bridge is about to support 12.8 tons, how far Lould the support be?

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Q: A car traveling at 50 ft/sec begins decelerating (time is zero here, as is position) at a constant…

A: We will find the distance as required.

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A: Workdone is given by, W=∫x1x2Fdx

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A: Given: Pole of length (L): (x+(L-x))

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A: Given: fx=x+x

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A: Given that the repulsive force(f) is inverly ptoportional to square of distanceF α 1d2F=kd2First of…

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Q: 2. A rock thrown upward has a height given by s(1) = 49t-9.81 where s is in meters and / is in…

A: Use derivative to solve

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A: Given: ft=-2t

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A: The velocity of a particle is found by differentiating the position function of a particle,…

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Q: The function f(x, y) has a tangent line at (0, 0) with direction . Which of the following are true?…

A: z = f(x,y) f(x, y,) - z = 0 Tangent at (0, 0) with direction <a, 0, c>

Q: b) Find the point's acceleration at the specified time. s"(2) = ft/sec2 %3D

A: we have been given  s=3t-3t2   , t=2s'(t)=ddt3t-3t2s'(t)=-3t2+6t3now…

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Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation…

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A: We know that, the rate of change of distance with respect to time is called velocity. That if s…

Q: The repulsive force f between the north poles of two magnets is inversely proportional to the square…

A:

Q: Find the speed (as a function of t ) of a particle whose position at time t seconds is c(t) = (sin t…

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A: Acceleration=velocity/time Differentiation of velocity wrt time gives acceleration .

Q: A car traveling at 50 ft/sec begins decelerating (time is zero here, as is position) at a constant 5…

A: We will find how many feet the car travells before coming to a complete stop as following.

Q: The pressure data of compressed air is fluctuated as shown below: Time (s) Pressure (Pa) 4 7 16 4 20…

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A: The given data isVt=10t4-tt+1t-7m/s.To find:The distance travelled by particle over interval t∈0,6.

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A: Assume a particle's position is given by ft=3t ,where t is measured in seconds and ft is given in…

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A: We will use formula for the Displacement and distance in terms of Velocity function

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A: This question is based on derivative application.

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Q: If the position of a particle of mass m at time t seconds is given by 7= (r +1)i- 2j + ik, which of…

A: The position vector of the particle is given by, r→=t2+1i−2tj+t2k

Q: Suppose an object moves along a line at 19 m/s for 0sts2 s and at 25 m/s for 2<ts5 s. Sketch the…

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Q: If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464…

A: s(t) = 48 + 64t - 16t2Hence, s’(t) = 64 – 32ts”(t) = - 32When s is maximum, s’(t) = 0; hence 64 –…

Q: When a skydiver jumps from an airplane, his downward velocity increases until the force of gravity…

A: t = seconds intofree fall D = velocitydifference (ft/s) 0 176.00 2 124.19 4 87.63 6…

Q: IF A DALL IS THPOWN VERTICALL Y upWARD WITHE A VELOCTY OF 20 ft/s, THEN ITS HElGHT ARTER t SECONDS…

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Q: Consider the acceleration function of an object on a projectile motion is a (t) = -32. If v (0) = 28…

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Q: Q1) Find the tangent y = vx² – x + 7 at x = 2.

A: The detailed solution is as follows below:

Q: A car traveling at 55 ft/sec begins decelerating (time is zero here, as is position) at a constant…

A: We will find how many feet the car travells before coming to a complete stop as following.

Q: the position function of a particle is given by s (t)= 3t2-t3, t greater than or equal to 0. a.…

A: The position function of a particle is s(t)=3t2-t3, t≥0

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: Use the Trapezoidal Rule with n = 4 to estimate f, x² dx. Compare the estimate with the exact value.

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 14 – 3t, where 0 <t< 2 (in…

A: Given, Velocity of the particle = v(t) = 14 - 3t  We have to find the displacement at time t = 2 So,…

Q: According to B. F. Visser, the velocity v of air in the trachea during a cough is related to the…

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Q: At time t seconds, the center of a bobbing cork is 2sin(2t) centimeters above or below water level.…

A: ft=2sin2t Now velocity is the derivative of position with respect to time. So differentiating…