Vectors + Scalars

Question 1

Distance Formula

Answer 1

D = s*t

Question 2

Velocity Formula

Answer 2

v = S/t (s = displacement, & velocity is a vector measure meant meaning it needs a direction)

Question 3

Speed vs Velocity

Answer 3

The speed is the rate of change in distances (i.e. how far an object travels, over time). Velocity is the rate of change in displacement (i.e. how far an object travels, over time in regards to a relative direction). Speed is a scalar quantity, while velocity is a vector quantity.

Question 4

Scalar Quantity

Answer 4

A measurement fully described by a magnitude alone. e.g. length

Question 5

Vector Quantity

Answer 5

A measurement that is fully described by a magnitude & a direction.

Question 6

Acceleration Formula

Answer 6

a = (v - u)/t (this means acceleration is the difference in 2 measurements of velocity/speed after a given time)

Another rearrangement for velocity is: v = u + at

Question 7

Distance Travelled Equation (Looking at a Velocity Time Graph)

Answer 7

s = ut + 1⁄2 at^2.

This formula is derived from the area under a velocity-time graph. The ‘ut’ is the rectangular area under the graph. 1/2 (…)^2 is the triangular area under the graph if the velocity is increasing at a constant rate. The triangular area would be 1/2(v-u)t, but if you substitute u + at for v, then the expression becomes 1/2at^2.

This is why the full equation is s = ut + 1/2 at^2.