2. 1D Motion / Kinematics

If an object experiences a constant acceleration of $3m/s^2$ over a $1s$ interval, what is the change in velocity during this $1s$ interval?

Given an $a$-time graph for a particle, if the acceleration $a$ is positive for a certain time interval, what can be determined about the sign of the particle's position $x$ during that interval?

Suppose you have four objects, A, B, C, and D, each moving in a straight line. The acceleration-time graphs for each object show the following constant accelerations over the same time interval: Object A: $3$ m/s$2^{}$, Object B: $1$ m/s$2^{}$, Object C: $4$ m/s$2^{}$, and Object D: $2$ m/s$2^{}$. If all objects start from rest and experience their respective accelerations for the same amount of time, which lists them from greatest to lowest change in velocity?

Given an acceleration-time graph where acceleration is constant at $a$ for a time interval $t$, what is the change in velocity $\Delta v$ during this interval?

Which equation is most likely used to determine the acceleration from a $v$ vs. $t$ graph?

Given that a particle undergoes a displacement of magnitude $54 m$ in a direction $42°$ below the x-axis, what are the x and y components of the displacement vector?

Given an acceleration-time graph where the acceleration is constant at $3-2$ $m/s^2$ for $4$ seconds, what is the change in velocity of the object during this interval?

An object moves with an acceleration that is constant at $4m/s^2$ for a time interval of $1s$. What is the change in its velocity during this $1-s$ interval?

FIGURE EX2.31 shows the acceleration-versus-time graph of a particle moving along the x-axis. Its initial velocity is v_0x = 8.0 m/s at t₀ = 0 s. What is the particle’s velocity at t = 4.0s?