Physics - Kinematics Question with Solution | TestHub

For uniform acceleration from rest:

$s(t)=\frac{1}{2}a{t}^2$

Distance in the first 5 s:

$x_1=\frac{1}{2}a(5^2)=\frac{25a}{2}$

Distance from 5 to 10 s:

$x_2=\frac{1}{2}a(10^2-5^2)=\frac{75a}{2}$

Distance from 10 to 15 s:

$x_3=\frac{1}{2}a(15^2-10^2)=\frac{125a}{2}$

$x_1:x_2:x_3=1:3:5$

Answer: C.