Assignment:
A car is travelling at a steady speed of 90 km/h when an emergency occurs. The driver carries out a panic-braking stop, locking all the wheels (no ABS!).
a. Derive expressions for the deceleration under the following conditions:
i. if the car is ascending a slope of angle Q from the horizontal
ii. if it is on a horizontal road surface
iii. if it is descending the slope.
b. Assuming that the weather is dry, the slope is designated as 10% and the mass of the car, M, is 950 kg, determine for the three cases described in part (a) the decelerations and the time taken for the car to come to rest.