A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity is s' (0) = -4 cm/sec and its initial displacement is s(0) = 7 cm. What is the position function? 5t3 A.) - 4t + 7 6. 5t3 В.) 4t – 7 5t3 C.) + 4t + 7 5t3 D.) 3 – 4t + 7

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…

Q: Exercise (8): Calculate o So* (xyz) dz dy dx. (x=1 (y=1-x (z=2-*(xyz) dz dy dx. x=0 Jy=0 z=0

A:

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A: Find your answer below

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A: Given height:- ht=104t-16t2

Q: Find an equation of the tangent to the curve y =x In x atthe point  (e, e).

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

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A: Instantaneous velocity is given by the formula - f'(a) = fa+h-fa-h2hSubstituting a = 2,f'(2) =…

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A: Given Initial point is x = 0 V = 50-0.5x a = dV/dt = -0.5 dX/dt a = -0.5V

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

A:

Q: Suppose a rock falls from rest from a height of 100 meters and the only force acting on it is…

A: When any object falls from rest , it means the initial velocity of the rock is 0 m/s . The equation…

Q: When d is in feet, t in second , find the velocity at t= 2 of the motion s = t^2 +3t

A: s=t2+3tVelocity of the particle isdsdt=2t+3On putting the value oft=2

Q: A projectile is launched upward from ground level with an initial velocity of 30 mis. (a) Find the…

A: It is given that, Initial velocity, u=30 m/s,Angle, θ=90°,andg=9.8m/s2 The ball is thrown vertically…

Q: Use implicit differentiation to find dv/dL.

A: We will use concepts of differentiation in this.

Q: If =4xy, find x and y components of the velocity at (1,4)  and (4,4). Calculate the discharge…

A: Given that, ϕx,y=4xy    ...1. Let the points be, x1,y1=1,4 and x2,y2=4,4. Consider the velocity…