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4-1.Newton's Laws of Motion
medium
The linear momentum $p$ of a body of mass $5 \,kg$ varies with time $t$ as, $p = 5t^2 + t + 5$ It follows that the body is moving with
A
constant acceleration
B
constant speed
C
variable acceleration which is increasing with time
D
variable retardation which is decreasing with time
Solution
Momentum $\mathrm{p}=\mathrm{mv}=5 \mathrm{t}^{2}-\mathrm{t}+5$
Given ${ \quad \mathrm{m}=5 \mathrm{kg}} $
$\therefore $ ${\qquad \mathrm{v}=\mathrm{t}^{2}-\frac{\mathrm{t}}{5}+1} $
${\text { Acceleration }=\frac{\mathrm{dv}}{\mathrm{dt}}=2 \mathrm{t}-\frac{1}{5}}$
As the time $'t'$ increases, the acceleration dv/dt also increase linearly.
Standard 11
Physics
