Acceleration–time graphs Knowledge-Based Download PDF

Questions

1. 1.

   What physical quantity is represented by the area between the curve of an acceleration–time graph and the time axis over a given time interval?

   • A) Total displacement over that interval
   • B) Change in velocity over that interval
   • C) Final velocity at the end of the interval
   • D) Rate of change of acceleration over that interval
2. 2.

   Which of the following quantities cannot be determined solely from an object's acceleration–time graph without knowing an initial condition?

   • A) The instantaneous velocity at a given instant
   • B) The change in velocity over a given time interval
   • C) The average acceleration over a given time interval
   • D) The time intervals during which the acceleration remains constant
3. 3.

   A particle moves along a straight line with an acceleration of $4\text{ m/s}^2$ for the first $3\text{ s}$, after which its acceleration remains constant at $-2\text{ m/s}^2$. At what time $t$ will the particle have the exact same velocity as it had at $t = 0\text{ s}$?

   • A) 5 s
   • B) 6 s
   • C) 7 s
   • D) 9 s
4. 4.

   An object moves along a straight line with an initial velocity of 10 m/s at t = 0 s. If its acceleration increases uniformly from 0 m/s² to 6 m/s² over a 4 s interval, what is the velocity of the object at t = 4 s?

   • A) 12 m/s
   • B) 16 m/s
   • C) 22 m/s
   • D) 34 m/s
5. 5.

   An object moves along a straight line starting from rest. According to its acceleration–time graph, the acceleration is constant at $3\text{ m/s}^2$ from $t = 0\text{ s}$ to $t = 4\text{ s}$, and then remains at $-1\text{ m/s}^2$ from $t = 4\text{ s}$ to $t = 6\text{ s}$. What is the velocity of the object at $t = 6\text{ s}$?

   • A) $6\text{ m/s}$
   • B) $8\text{ m/s}$
   • C) $10\text{ m/s}$
   • D) $14\text{ m/s}$