FInd the tangential and normal components of the acceleration. r(t) >= [10sm &t+3] ₁ + [10 cost-2]j sin a = 144T + 144N 1-3/3/1 T B a = T + 144N a 11 72 N + 5tk

Q: A particle has acceleration a(t) = eº.¹ti + 12tk. If its initial velocity is i - 3j and its initial…

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Q: s(t) = 2t3 - 3t2. The position, s (in metres), of a particle at t seconds is given by What is its…

A: This is question of derivative.. Derivative of s(t) is v(t). And derivative of v(t) is a(t)... And…

Q: (c) Compute the derivative of u = Vt² +2vt³.

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Q: Suppose that the position of a particle is given by s = f(t) = 4t³ + 2t +9. (a) Find the velocity at…

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Q: 1.)  Let s(t)= tlnt-t be the displacement of a particle (in feet) from the origin after t seconds.…

A: Velocity and acceleration from displacement function

Q: The acceleration (in m/s²) of a particle moving along a line at time t (in seconds) is given by -2t…

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Q: Find the derivatives of the functions in Exercis

A: The given function is q=2r-r23.

Q: If s (t) = 4t3 – 3t describes the position of a particle moving along a straight path where s (t) is…

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Q: A 800-lb object is released from rest 600 ft above the ground and allowed to fall under the…

A: According to the given information, it is required to determine the equation of motion of object…

Q: 2t –8 Find the derivative of with respect to t. 4t+8 3t а. (4t+8)² 3t b. (4t+8)? 3 C. (t+2)? 3. d.…

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Q: Find the derivative. |4t +5 dt O A. V4x+5 O B. V4x+5 - 5 2 OC. V4x +5 OD. (ax + 5)/2

A: It is given that, y=∫0x4t+5 dtWe have to find the derivative.

Q: A particle has an acceleration of a(t) = 0i +0j + (7/3)k. The particle starts at the origin with…

A: Given: at=0i+0j+73kv(0)=7i-4j