at time t=0, a particle is located at the point(4,8,7). it travels in a straight line...

at time t=0, a particle is located at the point(4,8,7). it travels in a straight line to the point (7,1,6), has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. Find an equation for the position vector r(t) of the particle at time

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Colby Messinger answered 2 years ago

at time t= 0 , a particle is located at the point (4,8,7). it travels in...

at time t= 0 , a particle is located at the point (4,8,7). it travels in a straight line to the point (7,1,6) has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. find an equation for the position vector r(t) of the particle at time t

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The velocity function for a particle moving along a straight line is given by v(t) = 2 − 0.3t for 0 ≤ t ≤ 10, where t is in seconds and v in meters/second. The particle starts at the origin. (a) Find the position and acceleration functions for this particle. (b) After ten seconds, how far is the particle from its starting point? (c) What is the total distance travelled by the particle in the interval [0, 10]?

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