3 The path r(t) = (t - sin t)i + (1 -cos t) j describes motion...
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3π The path r(t) = (t - sin t)i + (1 -cos t) j describes motion on the cycloid x=t-sint, y = 1-cost. Find the particle's velocity and acceleration vectors at t= and sketch them as vectors on the curve. Зл 3π The velocity vector at tis - 1- cos (17) + (7) ₁ = (²7) = i+ sin (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) The acceleration vector at t = Зл (3x 2 is a 2 i+ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) v 3x Choose the correct sketch for the particle's velocity and acceleration at t= 2 SOA. Q O B. Q G O C. h O D. hi 3π The path r(t) = (t - sin t)i + (1 -cos t) j describes motion on the cycloid x=t-sint, y = 1-cost. Find the particle's velocity and acceleration vectors at t= and sketch them as vectors on the curve. Зл 3π The velocity vector at tis - 1- cos (17) + (7) ₁ = (²7) = i+ sin (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) The acceleration vector at t = Зл (3x 2 is a 2 i+ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) v 3x Choose the correct sketch for the particle's velocity and acceleration at t= 2 SOA. Q O B. Q G O C. h O D. hi
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