3. When I was a child, I used to swim across the upper Hudson river. During my f

Question

3. When I was a child, I used to swim across the upper Hudson river. During my first few attempts, I would maintain a body alignment perpendicular to the shore. I could swim approximately 2.0 m/s. If the current was 1.5 m/s, what was my resultant velocity? 4. Would it have been possible for me to swim differently in order to travel directly across the river? Explain in terms of vectors, components and resultant. 5. Determine the horizontal and vertical components of a soccer ball kicked with an initial velocity of 5.0 m/s, 40° above the horizontal.

Explanation / Answer

Q3)The resultant velocity will be:

v = sqrt (2^2 + 1.5^2) = 2.5 m/s

Hence, v = 2.5 m/s

Q4)the rivew flows along x and you are swimming along y. So it would have been difficult in other ways.

Q5)Given,

v0 = 5 m/s ; theta = 40 deg

We know that the x and y component of velocity are given by:

vx = v0 cos(theta)

vx = 5 x cos40 = 3.83 m/s

vy = v0 sin(theta)

vy = 5 sin40 = 3.21 m/s

Hence, vx = 3.83 m/s ; vy = 3.21 m/s

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