A particle moves along the x-axis so that at time t> 0 its position is given by x(t) = t³ – t² – 16t. Determine if the particle is speeding up or slowing down at t = 3. and a (3) Since v (3) the particle is Cat t = 3 because velocity and acceleration have î

Q: 12. The velocity of a particle at time t is given by the function v(t) = t³ – sint + 2, what is the…

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Q: 2. a). Find the velocity and acceleration of a particle whose position function is x(t)=…

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Q: A particle moves along the curve *= 21² , y = t² – 4t and = = 31 – 5 where t is the time . Find the…

A: Given: Position vector is given as, r→=2t2i^+(t2-4t)j^+(3t-5)k^ The objective is to find the…

Q: 4. The function a(t) = 3t² – 20t + 27 describe the acceleration of a particle moving along a line.…

A: Given that: Acceleration function, a(t)=3t2-20t+27

Q: The value of the instantaneous velocity at t = 1 is

A: Consider the position function To calculate the instantaneous velocity

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A: Given: To Find: To find the instantaneous velocity and acceleration at the given time.

Q: Show that the equation of the tangent to the curve = 2 (a'0, b1.0) a y at the point (a, b) is = 2.…

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Q: 3. Suppose that equation 2(d) represents the position of a particle moving in a straight line where…

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Q: 2. A particle starting with velocity u is falling freely under gravity with a constant acceleration.…

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Q: The position of a bird flying on a straight line is given by s(1) = 3 - 21 +1, where s is in meters…

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Q: 1. Let the velocity function of a moving object is V(t) = 7t³ + 5t² - 4t. What is the function for…

A: Acceleration: An object is said to be accelerated if there is a change in its velocity. A change in…

Q: 5. If s = t – 5t + 12t², find the velocity of the moving object when its accel- eration is zero.

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Q: 9.) A particle moves in a straight line according to the law of motion: s=cos(x). a. Find the…

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