001 (part 1 of 2) 10.0 points A particle has an initial horizontal velocity of 2

Question

001 (part 1 of 2) 10.0 points A particle has an initial horizontal velocity of 2.4 m/s and an initial upward velocity of 5.2 m/s. It is then given a horizontal accelera- tion of 2.7 m/s2 and a downward acceleration of 1.6 m/s What is its speed after 2.4 s? Answer in units of m/s. 002 (part 2 of 2) 10.0 points What is the direction of its velocity at this time with respect to the horizontal? Answer between -180° and +180° Answer in units of 003 10.0 points A particle moving at a velocity of 6.7 m/s in the positive a direction is given an accelera- tion of 4.8 m/s in the positive y direction for 8.8 s What is the final speed of the particle? Answer in units of m/s. 004 (part 1 of 3) 10.0 points Neglect: Air friction. Your teacher tosses a basketball. The ball gets through the hoop (lucky shot). 02 Figure: Not drawn to scale. How long does it take the ball to reach its

Explanation / Answer

ux = 2.4 m/s
uy = 5.2 m/s

ax = 2.7 m/s^2
ay = -1.6 m/s^2

t = 2.4 sec

001)
vx = ux + ax*t
vx = 2.4 + 2.7*2.4
vx = 8.88 m/s

vy = uy + ay*t
vy = 5.2 + (-1.6)*2.4
vy = 1.36 m/s

002)
Direction = arctan(vy/vx) = arctan(1.36/8.88) = 8.707 degrees

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