2. 1D Motion / Kinematics

A motorcyclist starts from rest and accelerates in a straight line. The table below shows the position of the motorcyclist at different times. Which kinematic equation best describes the relationship between position $x$, initial position $x_0$, acceleration $a$, and time $t$ for this motion?

In kinematics, which equation relates initial velocity, final velocity, acceleration, and displacement, and what is it commonly called?

Which of the following statements correctly describes the relationship between displacement, initial velocity, time, and acceleration in kinematics?

John is rollerblading down a long, straight path with an initial velocity of $2m/s$ and accelerates uniformly at $1m/s^2$. What is his velocity after $6s$?

An object moves along a trajectory given by $x=3t$ for $0\le t\le 4$ seconds. How far does it travel during this time interval?

A car starts from rest and accelerates uniformly at $a$ for a time $t$. Which equation correctly gives the distance $s$ traveled by the car during this time?

A car is traveling at an initial speed of $v{i}_0$ when the driver sees a deer $d$ meters ahead and immediately applies the brakes, coming to a stop with constant acceleration $a$ (where $a<0$). If the car stops before reaching the deer, how much distance is left between the car and the deer when it comes to a stop?

A ball starts from rest and accelerates uniformly at $a$ for a time $t$. Which equation gives the distance $s$ it travels in that time?

An object moves with a constant velocity of $2m/s$. During which time interval does the object travel approximately $10m$?

Two cars, Car A and Car B, start from rest and accelerate uniformly. Car A has an acceleration of $2 m/s^2$, while Car B has an acceleration of $3 m/s^2$. After $10 s$, which car has traveled farther?

When the speed of a vehicle doubles, by what factor does its stopping distance increase, assuming the braking force remains constant?

A running mountain lion makes a leap that is $10.0 m$ long and reaches a maximum height of $3.0 m$. Assuming the leap is a projectile motion and neglecting air resistance, what is the initial speed of the mountain lion as it leaves the ground?

Which of the following equations can be solved using the kinematic equations for uniformly accelerated motion?

A moving hockey puck encounters a patch of rough ice and slides 90cm before coming to a full stop. Assuming a constant deceleration of 8 m/s², what was the puck's initial speed?