A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of 2.10 m/s^2 and the car an acceleration of 3.40 m/s^2. The automobile overtakes the truck after the truck has moved 60.0 mm.

a. How much time does it take the car to overtake the truck?
b. How far was the car behind the truck initially?
c. What is the speed of each when they are abreast?
d. On a single graph, sketch the position of each vehicle as a function of time. Take x = 0 at the initial location of the truck.

not too sure thinking it will always be directed towards the centre of the earth. could be wrong not sure

where are the vectors ?

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.