1. How do distances and displacements differ ? 2. What determines whether quanti

Question

1. How do distances and displacements differ ?

2. What determines whether quantities are vectors or scalars ?

3. If an object in an open convertible moving at a constant 20mi/hr were thrown vertically upward, where would it come down ?(neglect air friction)

4. If I go 50mi south, then 50mi east, and then 50mi north and I end up where I started out, where am I ?

5. If a soccer player kicks a ball with a velocity of 15m/s at an angle of 60 degrees to the horizontal, at what time(s) in its flight will the ball have a velocity with a direction of 45 degrees above or below the horizontal ?

Explanation / Answer

1.) distance has only magnitude and no direction whereas displacement has magnitude as well as direction.

2.) a vector has a direction , scaler doest not have a direction

3.) it would come down to its orginal place from where it was thrown.

4.) you are at the north pole.

5.) horizontal component of the velocity remains constant , = 15 * cos(60) = 7.5 .

vertical component at the starting = 15*sin(60) = 12.99 m/s = u

vertical component of velocity when it makes 45 degree angle with the horizontal = 7.5 * tan(45) or 7.5*tan(-45)

= 7.5 or -7.5 = v

therefore v-u = g * t

===> t = (v-u)/g = (7.5 - 12.99)/(-9.81) or (-7.5-12.99)/(-9.81) = 0.55 seconds or 2.088 seconds

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