Linear Motion

An object is in free fall. It passes point A with a velocity of 5 m/s and later passes point B with a velocity of 15 m/s. The acceleration due to gravity is given as $g = 10$ m/s².

A truck and a car are traveling in the same lane, one after the other, both at constant speeds. The truck's speed is $v_0$, and the car behind it has a speed of $3v_0$. Due to heavy fog and low visibility, when the car driver spots the truck, the distance between them is only $s_0$. The car immediately applies the brakes. It is known that after braking, the car moves with constant deceleration and requires a distance of $s_1$ to come to a complete stop.

An object is thrown vertically upward with an initial velocity $v_0$. The initial position is the origin ($y=0$), and the upward direction is considered positive.

A sockeye salmon can leap out of the water with an initial vertical speed of up to 32 km/h. Assume standard Earth gravity, $g = 9.8$ m/s². The men's human high jump record is 2.45 m.

An object undergoes uniformly accelerated linear motion. When passing point A on a straight line, its velocity is $3.0$ m/s. It passes point B $2$ s later. The distance between points A and B is $10.0$ m.

An object undergoes linear motion. The distances traveled in consecutive 2-second intervals are 24 m, 20 m, 16 m, 12 m, 8 m, 4 m, and so on, until it comes to a stop.

A train travels along a straight track from station A to station B, starting from rest at A and coming to a stop at B. The distance between A and B is $S$. The train's maximum acceleration is $a_1$, and its maximum deceleration is $a_2$.

A train starts from a station and undergoes uniformly accelerated linear motion. Its position (coordinate) at time t is described by the equation $s = 3t^2$, where s is in meters and t is in seconds.

A body is in vertical projectile motion under gravity, neglecting air resistance.

A subway train travels a distance $d$ between two stations. The train starts from rest at the first station and comes to a complete stop at the second. The maximum tolerable acceleration magnitude for passengers is $a$. The train stops for a duration $t_{stop}$ at each station.