2. 1D Motion / Kinematics

If $v$ is constant, what is the $a$ of the object?

A cart moves along a straight track with a low fan speed, resulting in a constant acceleration. If the cart's velocity increases from $10 \text{cm}/\text{s}$ to $30 \text{cm}/\text{s}$ in $4 \text{s}$, what is the acceleration of the cart in $\text{cm}/\text{s}{2}^{}$?

Which of the following best describes positive $a$?

Which two controls on a car are primarily responsible for causing a change in $v$?

A cheetah accelerates from $15\text{m/s}$ to $30\text{m/s}$ in $3.0\text{s}$. What is the cheetah's acceleration?

An object moves along a straight line and its velocity vs. time graph consists of three segments: Segment A (velocity increases from $0$ to $5 m/s$ from $t=0$ to $t=2 s$), Segment B (velocity remains constant at $5 m/s$ from $t=2 s$ to $t=4 s$), and Segment C (velocity decreases from $5 m/s$ to $0$ from $t=4 s$ to $t=6 s$). During which segment(s) is the object speeding up?

Which of the following best explains why quick acceleration can increase fuel consumption by $2\text{ miles per gallon;}$?

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?

Starting from rest, a car accelerated to 20m/s in 4s. What was the magnitude of the car's constant 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. How much time does it take the car to travel the length of the ramp?

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?

A rocket starts from rest and moves upward from the surface of the earth. For the first $10.0$ s of its motion, the vertical acceleration of the rocket is given by $a_{y}=(2.80$ m/s³$)t$, where the $+y$-direction is upward. What is the speed of the rocket when it is $325$ m above the surface of the earth?

A rocket starts from rest and moves upward from the surface of the earth. For the first $10.0$ s of its motion, the vertical acceleration of the rocket is given by $a_y=(2.80$ m/s³$)t$, where the $+y$-direction is upward. What is the height of the rocket above the surface of the earth at $t=10.0$ s?