| Exam Board | AQA |
|---|
| Module | Paper 2 (Paper 2) |
|---|
| Year | 2021 |
|---|
| Session | June |
|---|
| Topic | Differentiating Transcendental Functions |
|---|
11 A particle's displacement, \(r\) metres, with respect to time, \(t\) seconds, is defined by the equation
$$r = 3 \mathrm { e } ^ { 0.5 t }$$
Find an expression for the velocity, \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\), of the particle at time \(t\) seconds.
Circle your answer.
\(v = 1.5 \mathrm { e } ^ { 0.5 t }\)
\(v = 6 \mathrm { e } ^ { 0.5 t }\)
\(v = 1.5 t \mathrm { e } ^ { 0.5 t }\)
\(v = 6 t e ^ { 0.5 t }\)