Please, Read the Question Below :)

Question

The mass of a sports car is 1400 kg. The shape of the car is such that the aerodynamic drag coefficient is 0.250 and the frontal area is 2.30 m². Neglecting all other sources of friction, calculate the initial acceleration of the car, if it has been traveling at 115 km/h and is now shifted into neutral and is allowed to coast. (Take the density of air to be 1.295 kg/m³.)

=_________m/s^2

Answer 1

Drag Force (Fd):

Fd = 0.5 * rho * v^2 * Cd * A = 0.5 * 1.295 * 31.944 ^ 2 * 0.25 * 2.3 = 379.91

Note: v = 115 km/h * 1000 m/km * (1/3600) h/s = 31.944 m/s

Summation of Forces in the X (horizontal) direction:

∑F = -Fd = m * a

a = -Fd / m = -379.91 / 1400 = - 0.2714