An object moves along the x-axis. The position as a function of time is given by c(t)=at^3+bt+c. What is the object's acceleration at time t = 0.50 s?

# Tag: position vs time graph

The figure above shows the motion diagram for an object. If the x-axis is chosen as shown (positive to the right), which of the diagrams below best represents the corresponding acceleration vs time graph? (In the graph, later time is to the right).

In a physics lab, a pendulum hung from the ceiling slowly swings back and forth. Select the arrow that best indicates the direction of the pendulum's acceleration when it reaches the lowest point moving from left to right.

The figure below shows six different motion diagrams. The separation between dots is in the same scale in all diagrams, and the time interval between dots is also the same for all of them. The direction of the positive x-axis is also shown. Rank the diagrams according to the x-component of the acceleration. (Positive is greater than negative)

The figure below shows four different motion diagrams. The green arrows represent the velocity vectors. For which of the diagrams can you say that the magnitude of the acceleration is clearly changing as a function of time?

The graph below shows the velocity versus time graph for a certain object. What is the object's acceleration at time t = 5 s?

The main graph shows position versus time for a certain object. Which of the graphs below correctly depicts the object's acceleration?

The main graph shows position versus time for a certain object. Which of the graphs below correctly depicts the object's acceleration?

The graph below shows the velocity versus time graph for a certain object. What is the distance traveled by the object between times t = 2 s and t = 8 s?

The Starship Enterprise returns from warp drive to ordinary space with a forward speed of 51 km/s. To the crew's great surprise, a Klingon ship is 150 km directly ahead, traveling in the same direction at a mere 21 km/s. Without evasive action, the Enterprise will overtake and collide with the Klingons in just about 5.0 s. The Enterprise's computers react instantly to brake the ship. PART A. What magnitude acceleration does the Enterprise need to just barely avoid a collision with the Klingon ship? Assume the acceleration is constant.