a-car-was-initially-at-rest-at-the-origin-it-started-to-accelerate-in-a-straight

Question

A car was initially at rest at the origin. It started to accelerate in a straight line as a result of a force acting on it, given by ﻿Fc﻿=KtF_{c}﻿=KtFc​﻿=Kt﻿. If the mass of the car is ﻿$$mcm_{c}mc$$​﻿, find as a function of time its velocity ﻿$$vcv_{c}vc$$​﻿ and position ﻿$$xcx_{c}xc$$​﻿.

Accepted Answer

﻿vc=Kt22mcv_{c}=\frac{$$Kt^2$$}{2m_{c}}vc​=2mc​Kt2​﻿; ﻿xc=Kt36mcx_{c}=\frac{$$Kt^3$$}{6m_{c}}xc​=6mc​Kt3​﻿

Answer

﻿vc=Kt2mcv_{c}=\frac{$$Kt^2$$}{m_{c}}vc​=mc​Kt2​﻿; ﻿xc=Kt3mcx_{c}=\frac{$$Kt^3$$}{m_{c}}xc​=mc​Kt3​﻿

Answer

﻿vc=Kmcv_{c}=\frac{K}{m_{c}}vc​=mc​K​﻿; ﻿xc=0x_{c}=0xc​=0﻿

Answer

﻿vc=0v_{c}=0vc​=0﻿ ; ﻿xc=0x_{c}=0xc​=0﻿

A car was initially at rest at the origin. It started to accelerate in a straight line as a result of a force acting on it, given by Fc=KtF_{c}=KtFc=Kt. If the mass of the car is mcm_{c}mc, find as a function of time its velocity vcv_{c}vc and position xcx_{c}xc.

A car was initially at rest at the origin. It started to accelerate in a straight line as a result of a force acting on it, given by $F_{c}=Kt$ . If the mass of the car is $m_{c}$ , find as a function of time its velocity $v_{c}$ and position $x_{c}$ .