Foundation November 2017 Paper 3 Q27
27
(a) Rearrange \(\quad v = u + at \quad\) to make \(t\) the subject of the formula. [2 marks]
(b) Complete this table with consistent metric units. [2 marks]
| Distance | Time | Speed | Acceleration |
|---|---|---|---|
| m | s |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(v - u = at\) or \(-at = u - v\) | M1 | |
| \(t = \dfrac{v - u}{a}\) or \(t = \dfrac{u - v}{-a}\) | A1 | oe |
| Alternative method 2 | ||
| \(\dfrac{v}{a} = \dfrac{u}{a} + t\) | M1 | |
| \(t = \dfrac{v}{a} - \dfrac{u}{a}\) | A1 | oe |
Additional guidance
| \(t = (v - u) \div a\) | M1A1 |
| \(v - u = at\) and \(t = v - u \div a\) | M1A0 |
| \(\dfrac{v - u}{a}\) or \(\dfrac{u - v}{-a}\) or \(\dfrac{v}{a} - \dfrac{u}{a}\) | M1A0 |
| \(a = \dfrac{v - u}{t}\) with or without working | M1A0 |
| \(t = v - u \div a\) | M0A0 |
| \(t = \dfrac{v + u}{a}\) | M0A0 |
| Answer | Mark | Comments |
|---|---|---|
| (Speed) m/s or ms\(^{-1}\) (Acceleration) m/s\(^2\) or ms\(^{-2}\) or m/s/s | B2 | B1 for one correct or two mutually consistent units eg km/h and km/h\(^2\) Accept mps for m/s and mps\(^2\) for m/s\(^2\) |
Additional guidance
| Allow units given in words eg metres per second metres per second squared or metres per second per second | |
| m/s\(^{-1}\) (speed) | B0 |
| m/s\(^{-2}\) (acceleration) | B0 |