(a) What are the components of the acceleration of the fish? (c) If the fish mai

Question

(a) What are the components of the acceleration of the fish?

(c) If the fish maintains constant acceleration, where is it at t = 28.0 s? X and Y.In what direction is it moving? counterclockwise from the x-axis

a fish swimming in a horizontal plane has velocity = (4.00 i^ + 1.00 j^) m/s at a point in the ocean where the position relative to a certain rock is = (14.0 i^ - 1.00 j^) m. After the fish swims with constant acceleration for 17.0 s, its velocity is varrowbold = (19.0 i^ - 3.00 j^) m/s. What are the components of the acceleration of the fish? What is the direction of its acceleration with respect to unit vector i^? counterclockwise from the x- axis. If the fish maintains constant acceleration, where is it at t = 28.0 s? X and Y. In what direction is it moving? counterclockwise from the x-axis

Explanation / Answer

a)

ax = (19 -4)/17 = 0.882 m/s^2

ay = (-3-1)/17 = -0.236 m/s^2

b)

tan theta = ( -0.236/0.882)

theta = 345 degrees

c) x = 14 + 4*28 + 0.5*0.882*28^2 = 471.74 m

y = -1 + 1*28 - 0.5*0.236*28^2 = -65.512 m

theta = arc tan (64.512/457.74) = 8.02 degrees

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