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Acceleration-Time Graphs

Acceleration-time graph has time on the x-axis and acceleration on the y-axis. The area under the between the curve and the x-axis is the distance traveled by the object in motion. When the slope of the line is zero, the acceleration of the object is constant. When the slope of the line is positive, the acceleration is speeding up in a positive direction. When the slope of the line is negative, the object is decelerating. An acceleration time graph is particularly useful when trying to find the total distance traveled by the object. 

An example of an acceleration-time graph with constant acceleration over time.

An example of an acceleration-time graph with changing accelerations over time.

An example of an acceleration-time graph with positive and negative accelerations.

With what speed must the clown leave the cannon in order to land in the truck?

I saw a stunt in which a clown fired out of a cannon and landed in a speeding toy fire engine which was racing away from him. the clown, of mass 60 kg, is fired with speed x at the same instant the fire engine starts to move directly away from him. The fire engine moves forward with a constant acceleration of g/4. the fire engin

A Discussion On Kinematics And Collision

Two soccer players start from rest, 49.0 m apart. They run directly toward each other, both players accelerating. The first player has an acceleration whose magnitude is 0.574 m/s2. The second player's acceleration has a magnitude of 0.226 m/s2. (a) How much time passes before they collide? (b) At the instant they collide, how f

Kinematics and Linear Relationships

Please question #4 completely with detailed solutions and explain 6c with no details left out please (in attached file). From 2 to 4 seconds, the acceleration is positive. Please go from position, to velocity, to acceleration graphs, and determine the changes. Use numbers, explain speeding up and down, and what the curves are