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Consider a particle moving along the xaxis where x(t) is the position of the particle at time t, x' (t) is its velocity, and x'' (t) is its acceleration. x(t) = t3 − 12t2 + 21t − 9, 0 ≤ t ≤ 10 Find the open tintervals on
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A snowmobile is originally at the point with position vector 31.3 m at 95.0° counterclockwise from the x axis, moving with velocity 4.77 m/s at 40.0°. It moves with constant acceleration 1.92 m/s2 at 200°. After 5.00 s have
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The components of a position vector of a particle moving in the plane are components t cubed, 2 times the sine of t. What is the distance traveled by the particle from t = 1 to t = π? Type your answer in the space below and give
asked by Alice on April 8, 2019 
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Let s(t) denote the position of a particle at time t, and let v and a be the velocity and acceleration respectively. The particle is moving according to the data a(t)=10sin(t)+3cos(t) s(0)=4 s(2pi)=1 find a function describing
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The velocityversustime graph is shown for a particle moving along the xaxis. Its initial position is x0 = 1.8m at t0 =0s. Part A What is the particle's position at t=1.0s? Part B What is the particle's acceleration at t= 1.0s?
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The acceleration of a particle moving only on a horizontal plane is given by a= 3ti +4tj, where a is in meters per secondsquared and t is in seconds. At t = 0s, the position vector r= (20.0 m)i + (40.0 m)j locates the particle,
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Find the position vector of a particle whose acceleration vector is a = (6t, 2) with an initial velocity vector (0, 0) and initial position vector (3, 0) Please I need your help with explanation. Thank you
asked by Alice on May 10, 2019

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A particle is moving along a straight line and its position is given by the relation x=( t36t215t+40)mm. Find: (a). The time at which velocity is zero. (b). Position & displacement of the particle at that point. (c).
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The position of a particle moving along an x axis is given by x = 15t2  2.0t3, where x is in meters and t is in seconds. (a) Determine the position, velocity, and acceleration of the particle at t = 3.0 s. x = m v = m/s a = m/s2
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The components of a position vector of a particle moving in the plane are components t^3,2sin(t)). What is the distance traveled by the particle from t = 1 to t = π? Type your answer in the space below and give 3 decimal places.
asked by Alice on April 4, 2019
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