Cutnell, Physics, 10e Gradebook ORION Dewnloadable eTextbook BACK Chapter 03, Pr

Question

Cutnell, Physics, 10e Gradebook ORION Dewnloadable eTextbook BACK Chapter 03, Problem 16 GO Your answer is partially correct Try again. A puck is moving on an alir hockey table. Reletive to an x, y coordinate system at time t O s, the x components of the puck's initial velocity and acceleration are vo- +5.4 m)s and a, magnitude v and (b)the direction of the puck's velocity at atme of t-050s. moving on an air hockey table, Relative to an x, y coordinate system at time t-Os,the x components of the +74 m/s? The y components of the puck's initial velocity and oy +5.5 m/s and ay 1.6 m/s2. Find (a) the Spechy the direction relative to the +r as. (a) 0.24 m/s the .x ais degrees (above 63 Question Attempts: Unlimited SAVE FOR LATER

Explanation / Answer

Given,

v0x = 5.4 m/s ; ax = 7.4 m/s^2 ; v0y = 5.5 m/s ; ay = -1.6 m/s^2

t = 0.5 s

a)from eqn of motion,

v = u + at

vx = v0x + ax t = 5.4 + 7.4 x 0.5 = 9.1 m/s

vy = v0y + ay t = 5.5 - 1.6 x 0.5 = 4.7 m/s

magnitude of velocity will be:

v = sqrt (9.1^2 + 4.7^2) = 10.24 m/s

Hence, v = 10.24 m/s

b)theta = tan-1(vy/vx)

theta = tan-1 (4.7/9.1) = 27.32 deg

Hence, theta = 27.32 deg

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