The velocity of a car at time $t$ (in seconds) and at displacement $x$ (in m) is given by \(v =

Question

The velocity of a car at time $t$ (in seconds) and at displacement $x$ (in m) is given by $v = x + 4t$, for $0 \le t \le 3$. Given that $x = 0$ when $t = 0$, find: The displacement $x$ in terms of $t$ only The acceleration of the car at time $t = 2$ s

Accepted Answer

(a) $x = 4(e^t - t - 1)$; (b) $4e^2$.

Differential Equations - Modelling in Real-Life Problems

Differential Equations - Modelling in Real-Life Problems