A particle of mass 1.500kg travels in space and its position is governed by the
ID: 1683069 • Letter: A
Question
A particle of mass 1.500kg travels in space and its position is governed by the equationr(t)= 2.000t2x-(3.000t3+2.000t)y Questions _______________________________________________________________________ a)What is the function of Acceleration with respect to time? b) What is the function of force with respect to time? c)At time t=0.2250s, what is the i. Accerleration? ii. Force?? A particle of mass 1.500kg travels in space and its position is governed by the equation
r(t)= 2.000t2x-(3.000t3+2.000t)y Questions _______________________________________________________________________ a)What is the function of Acceleration with respect to time? b) What is the function of force with respect to time? c)At time t=0.2250s, what is the i. Accerleration? ii. Force??
Explanation / Answer
A particle of mass 1.500kg travels in space and its position is governed by the equation r(t)= 2.000t2x-(3.000t3+2.000t)y Questions _______________________________________________________________________ a)What is the function of Acceleration with respect to time? b) What is the function of force with respect to time? c)At time t=0.2250s, what is the i. Accerleration? ii. Force?? v(t) = dr(t) / dt = 4.00 t x - (9.00t^2 + 2.00)y a (t) = dv(t) / dt = 4.00 x - (18.00 t) y Answers : a) a (t) = dv(t) / dt = 4.00 t x - (18.00 t) y b) a(0.2250) = 4.00 x - 18.00 * 0.2220 y = 4.00 x - 4.05 y Force F = m a = 1.5 [ 4.00 x - 4.05y] = 6.00 x - 6.075 y
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