PHY 2048 Study Guide 3 Kinematics in 2-D k1. At! -0, a particle leaves the origi

Question

PHY 2048 Study Guide 3 Kinematics in 2-D k1. At! -0, a particle leaves the origin with a velocity of 9.0 m/'s in the positive y direet and moves in the xy plane with a constant acceleration of (ad-4m/s. At the instant the x coordinate of the particle is 15 m, what is the speed of the particle? a. 10 m/s b. 16 m/s c 12m/s d. 14 m/s e. 26 m/s 2. A particle starts from the origin at t-0 with a velocity of 6.0i m/s and moves in the xy plane with a constant acceleration of (-2.0i+ 4.0j) m/s. At the instant the particle achieves its maximum ppsitive x coordinate, how far is it from the origin? a. 36m b. 20 m c. 45m d. 27 m e. 37m 3. Att 0, a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of (-201+ 4 D) m/s . At the instant the y coordinate of the particle is 18 m, what is the x coordinate of the particle? a. 30m b. 21 m c. 27m d. 24m e. 45 m

Explanation / Answer

U need help with 2 and 3 ?

2)(b)D = 20 m

explanation

we know that, v = u + at

0 = 6 + -2 t => t = 3 s

x = ut + 1/2 at^2

x = 0 + 6 x 3 - 1/2 x 2 x 3^2 = 9

y = 0 + 0 + 1/2 x 4 x 3^2 = 18

D = sqrt (9^2 + 18^2) = 20.1 m

Hence, D = 20 m

3)(c)27 m

explanation

18 = 0 + 0.5 x 4 t^2 => t = 3 s

x = 12 x 3 - 1/2 x 2 x 3^2 = 27 m

Hence, x = 27 m

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