Linear Motion

An airplane lands with an initial velocity of 60 m/s and decelerates uniformly at a rate of 6 m/s².

Two objects, A and B, are in motion. Their displacements as a function of time are given by the equations $s_A = 4t^2 + 2t$ and $s_B = 8t - 0.8t^2$. The unit for displacement is meters (m) and for time is seconds (s).

An object undergoes uniformly accelerated linear motion. It travels a distance of 255 m in 30 s. At the end of the 30 s interval, its velocity is 16 m/s.

An object is dropped from a hot air balloon when the balloon is at a height of 150 m above the ground. The object takes 6 s to reach the ground. Assume the acceleration due to gravity is $g = 10 \text{ m/s}^2$.

A fire hose ejects water at a flow rate of 280 L/min and an initial speed of 26 m/s. The water is sprayed vertically upwards. Air resistance is negligible and Earth's gravity is $g = 9.8$ m/s².

An object is dropped from a balloon that is ascending at a constant velocity of 8 m/s. The object takes 3 s to reach the ground after being released.

A ball is in free fall. It passes point A with a velocity of 20 m/s and then point B with a velocity of 25 m/s. After passing point B, it takes an additional 0.5 s to reach the ground. Assume $g = 10 \text{ m/s}^2$.

An object undergoes variable speed motion. Its average speed in the first half of the journey is 3 m/s, and its average speed in the second half of the journey is 5 m/s.

An object starts from rest and undergoes uniformly accelerated linear motion. When its velocity is $v$, its displacement is $s$.

An object moves along a straight line. Starting from a certain moment, the distances it travels in consecutive equal time intervals are 3 m, 9 m, 15 m, 21 m, and 27 m.