A car has a drag coefficient

$0\mathrm{.}34,$ a frontal area of $2\mathrm{.}20m^2,$

a weight of $12000$ N and $=$

$1\mathrm{.}225k\frac{g}{m^3}.$ It is travelling at

a speed $V=125k\frac{m}{h}.$ The

engine develops maximum

power of $135$ hp $.$ What is the

maximum grade this vehicle

could ascend on a paved

surface while its engine is

developing maximum power?

$(3$ decimal places$)$

Available Power $(P)=$

W

Power required to overcome

Air resistance $(P_{Ra})=$

w

Power required to overcome

Rolling resistance $(PRr)=$

w

Power required to overcome Grade

resistance $(P_{Rg})=$

The maximum grade $(G)=$