Calculus

Displacement, Velocity, Acceleration

Uniform Acceleration

         

A ball is currently 1000m 1000m above the ground and held at rest. It is dropped at t=0 t = 0 , and experiences gravitational acceleration of 9.8m/s2 9.8 \, m / s^2 .

When 33 seconds is passed, what is the height of the ball from the ground?

Object P with an initial velocity of 9 m/s9\text{ m/s} starts to move eastward along a straight line under a constant acceleration of 8 m/s28\text{ m/s}^2 from point A. At the same time, another object Q starts to move eastward under a constant acceleration of 9 m/s29\text{ m/s}^2 from rest at point A. How far does object Q travel in meters when the two objects meet again?

An object with an initial velocity of 9 m/s9\text{ m/s} moves along the xx-axis with constant acceleration. After 88 seconds, its velocity is 49 m/s.49\text{ m/s}. How far did it travel during the 88 seconds in meters?

The speed of a bullet is measured to be 640 m/s 640 \text{ m/s} as the bullet emerges from its 1.20 m 1.20 \text{ m} long barrel. Assuming a constant acceleration, find the time that the bullet spends in the barrel after it is fired.

A car that is initially traveling at 20 m/s20\text{ m/s} accelerates uniformly in a straight line for 55 seconds at a rate of 6 m/s2.6\text{ m/s}^2. How far in meters does the car travel during the 55 second period?

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