The resistance to the motion of a vehicle is partly constant and partly varies as the square of it's speed.At 30km/h the resistance is 496N,and 50km/h it is 656N.

Find the resistance at 60km/h.

1 answer

R = a + v^2 b
496 = a + 900 b
856 = a + 2500 b
-------------------------subtract
-360 = -1600 b
b = 0.225
a = -2500 (0.225) +856 = 294
so
R = 294 + 0.225 v^2
at v = 60
R= 294 +0.225 (3600) = 1104 Newtons