2. 1D Motion / Kinematics

The brakes of your car can provide an acceleration of 4.6m/s². You're speeding at 37.5 m/s and suddenly see a police car, so you slam the brakes. How long will it take for your car to slow down to the speed limit of 25 m/s?

A plane starts from rest and accelerates uniformly at acceleration $a$. What is the distance $d_{first1}$ traveled by the plane in the first second of its run?

A race car starts from rest and travels east along a straight and level track. For the first $5.0$ s of the car's motion, the eastward component of the car's velocity is given by $v_x\left(t\right)=$ ($0.860$ m/s³)t². What is the acceleration of the car when $v_x=12.0$ m/s?

A particle moves along a straight line so that its velocity as a function of time is given by $v=3.0t+2.0$, where $v$ is in meters per second and $t$ is in seconds. What is the instantaneous acceleration $a$ of the particle at $t=45.0$ s?

If an object's velocity as a function of time is given by $v=3t-2$ (in $m/s$), the acceleration of the object at time $t=0.7$ $s$ is most nearly equal to which of the following?

If the $v$ is changing over time but in a constant and predictable way, then __________.

What happens to the motion of an object when its velocity is $v>0$ and its acceleration is $a<0$?

Which of the following best describes the difference between $\mathrm{speed}$ and $\mathrm{acceleration}$?

A car sits on an entrance ramp to a freeway, waiting for a break in the traffic. Then the driver accelerates with constant acceleration along the ramp and onto the freeway. The car starts from rest, moves in a straight line, and has a speed of $20$ m/s ($45$ mi/h) when it reaches the end of the $120$-m-long ramp. What is the acceleration of the car?

Which of the following objects has zero $a$?