The velocity function (in meters per second) for a particle moving along a line is given by v(t)-1(2- 2t - 8), 1 st 6. (a) Find the displacement (in meters) of the particle Displacement 10/3 meters (b) Find the total distance traveled (in meters) by the particle. Total distance traveled = meters

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

A:

Q: 2. Find the derivative of the function at PO in the direction of u. f(x,y)=6x-7y, P0(-7,-2), u=4i-3j

A: We have to find derivative

Q: A proton moves in an electric field such that its acceleration (in cm s-²) is given by: 40 a(t) (4t+…

A:

Q: (a) Find the derivative of f(x, y, z) =x²- xy²- z at Po(5, 1, 0) in the direction of v=2i-3j+ 24k.…

A: Given: f(x, y, z) = x2 - xy2 - z, P0(5, 1, 0) and v=2i - 3j + 24k.

Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocityis…

A:

Q: Find the velocity of a particle when  S = t2 + 3t - 4 at t = 1 sec

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: Given,

Q: Suppose that a particle moves along a straight line with velocity v(t) = 12 4t, where 0 ≤ t ≤ 2 (in…

A: For the particle moving in a straight line  Displacement 12t-2t2 Total distance travelled is 16…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 – 5t, where 0 <t < 0.5…

A:

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 5t…

A: Given:The velocity function of the particle is v(t) = 5t-8.

Q: . The table below gives the values of distance traveled by a car at various times from a tollgate at…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10- 5t, where 0 <t <1.5 (in…

A:

Q: The velocity function of a moving particle on a coordinate line is v(t) = t2 + 3t − 10 for 0 ≤ t ≤…

A:

Q: 3. Find the derivative of the function f(x, y, z) = xy³ + yz³ + zx³ at the point (-1, 2, 1) in the…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 11 – 5t, where 0 <t 0.5 (-…

A: NOTE: Refresh your page if you can't see any equations. .

Q: The velocity function is v(t)=t2 +6t+8 for a particle moving along a line. Find the displacement…

A: We have to find out the displacement

Q: A mass m is accelerated by a time-varying force exp(-ßt)v², where v is its velocity. It also…

A: .

Q: The velocity function is v(t) = -t² + 5t – 4 for a particle moving along a line. Find the…

A: Given that the velocity function is  v(t)=-t2+5t-4 for a particle moving along a line.

Q: Find the approximation for the Green's function of the one-dimensional acoustic wave equation in the…

A: Given function is, cx=aebx Here, a&gt;0 and it's constant here we have to see the effect of b so,…

Q: For function f(x, y) = 5- | 2 E find the maximum value of the directional derivative at (3, 2).

A:

Q: Two ships leave port at the same time t = 0. Ship A travels East at km/hr while ship B 2 heads…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

Q: The velocity function is v(t) = -t + 5t – 6 for a particle moving along a line. Find the…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 12 – 3t, where 0 <t < 0.5…

A: Solution

Q: Assume a particle’s position is given by f (t) = −4 / t, where t is measured in seconds and f (t) is…

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

Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 1t, where 0 <t < 11.5…

A: Given : v(t) = 15 - t  0≤ t ≤ 11.5

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 5t, where 0 ≤ t ≤ 1.5…

A: The answer as follows:

Q: The velocity function of a particle moving along a horizontal line is given by v(t) = t^2 − 8t + 15,…

A:

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

A: Given: V(t)=3t-7,  0≤ t ≤ 3 To find distance traveled by particle during the given time interval .

Q: 4) For the function p = x2y+ yz at the point (1,2,-1), find its rate of change with distance in the…

A: Given data: Function:

Q: The velocity of an airplane at takeoff, starting from a full stop, is given by the function v(t):…

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

Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y²/x) + V3 sec-'…

A:

Q: The altitude of a helicopter at three different instants is listed as below: 0.2 445.98 0.45 t, sec…

A: We will start by using formula for derivative by 1st principle

Q: The directional derivative of f(x, y) = e cos y at (0, ) in the direction of v = (-6, 8) is -7 5/2…

A: Explanation of the answer is as follows

Q: The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to…

A: see the attachment for answer

Q: The velocity function is v(t) = -t² + 3t - 2 for a particle moving along a line. Find the…

A:

Q: The velocity function (in meters per second) is given by v(t) = t2 - 2t - 3, for a particle moving…

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

Q: The position function of a particle is given by s(t) = 3t2 - t°, t 2 0. (a) When does the particle…

A: This question is based on derivative application.

Q: V(t) = 2tv/10 – t

A:

Q: the supply function for luminar lamps is p=0.1x2+o.5x+15, where x is measured in thousands of lamps…

A: Given: A supply function for luminar lamps p=0.1x2+0.5x+15, where p is the unit price in dollars and…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 14 - 6t, where 0 < t < 1.5…

A:

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

A: solution is given below. part b .

Q: Find the derivative of the function at Po in the direction of A. f(x,y) - - 3ху + 5y, Po(1, - 5), А-…

A: We have to find the directional derivative of the function P at (1,-5).

Q: The velocity function (in meters per second) for a particle moving along a line is given by v(t) =…

A: For displacement we find out integration of v(t) from -2 to 3

Q: A mass m is accelerated by a time-varying force exp(-ßt )v², where v is its velocity. It also…

A:

Q: Find the directions in which f(r, y) = (r+y-2)2+(3x- y- 6)?, increase and decrease most rapidly at…

A:

Q: 4. What is the direction in which the function f(x, y) = yx² -- decreases most rapidly at the point…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the direction at which the function f (x, у, 2) %3 хIn(е' — хг) increases fastest at (-3,0,0)

A:

Q: A car moves in a straight line. At time t (measured in seconds), its position (measured in meters)…

A: