### Kinematics

A car moves along a straight road with a speed of 200 km/h. When this car passes through another car, initially
at rest at a gas station, it begins to move with constant acceleration
\( 4.5\ \text{m/s}^{2} \)
until it reaches the speed of 200 km/h. Calculate

a) What is the time elapsed until the car leaving the gas station reaches the speed of 200 km/h?

b) How far are they from each other when their speeds are equal.

a) What is the time elapsed until the car leaving the gas station reaches the speed of 200 km/h?

b) How far are they from each other when their speeds are equal.

On the Moon a stone is released at rest from a height of 20 meters, it falls under the action of the lunar free-fall
acceleration until reaching the ground with a speed

*v*. Determine how high the stone should be dropped on Earth so that it hits the ground at the same speed*v*. Free-fall acceleration on Earth \( g_{\text{T}}=9.8\;\text{m/s}^{2} \), free-fall acceleration on the Moon \( g_{\text{L}}=1.6\;\text{m/s}^{2} \).