H 3.1 2 points possible (graded) A cyclist rides 5.0 km due east, then 10.0 km 20" west of north. From this point she rides 8.0 km due west. What is the final displacement 7 from where the cyclist started? Express your answer as f = 2 kmi + y km] and enter the value of x and y two significant figures without unit. -6.4 Answer: - 6.4 -6.4 y 9.4 Answer: 9.4 9.4 H 3.2 5 points possible (graded) A particle's acceleration is @ (t) = 4.02 + 3.0j m/s2. Att = 0, its position and velocity are zero. a. What is the particle's velocity at t = 25? Express your answer as i (t =2s) = { m/s + vy] m/s and enter the value of Ug, Vy to two significant figues without unit. 8 Answer: 8 8 Uz: 6 Answer: 6 6 b. What is the particle's position at t = 2s? Express your answer as v (t = 2s) = zi m + yj m and enter the value of #, y to two significant figues without unit. 8 Answer: 8 8 y: 6 Answer: 6 6 b. Show that the equation of motion of the particle takes the form y = c . a. What is the value of c? Enter your answer to two significant figues without unit. 0.75 Answer: 0.75 0.75
H 3.3 6 points possible (graded) The position of a particle is i (t) = 4.012 1 - 3.03 + 2.0t3km. a. a. What is the particle's velocity at t = 1s? Express your answer as v(t=1s) = v3i m/s+vy} m/s + v2km/s and enter the value of Uz, Vy, Uz to two significant figues without units. Uz: 8 Answer: 8 8 0 Answer: 0 0 U .: 6 Answer: 6 6 b. What is the average velocity between 0 s and 1.0 s? Express your answer as Tau = 021 m/s+vy3m/s +v_km/s and enter the value of U2, U, U, to two significant figues without units. Uz: 4 Answer: 4 4 Vy: 0 Answer: 0 0 Uz: 2 Answer: 2 2