2. 1D Motion / Kinematics

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?

Certain rifles can fire a bullet with a speed of 970 m/s just as it leaves the muzzle (this speed is called the muzzle velocity). The muzzle is 70.0 cm long and the bullet is accelerated uniformly from rest within it. 

For how long (in ms) is the bullet in the muzzle?

A car accelerates from 5 m/s to 21 m/s at a constant 3.0 m/s². How far does it travel while accelerating?

A speed skater moving to the left across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice. She slows steadily, then continues on at 6.0 m/s. What is her acceleration on the rough ice?

Find an expression for the minimum stopping distance d_stop of a car traveling at speed v₀ if the driver's reaction time is T_react and the magnitude of the acceleration during maximum braking is a constant a_brake.

A car starts from rest at a stop sign. It accelerates at 4.0 m/s² for 6.0 s, coasts for 2.0 s, and then slows down at a rate of 3.0 m/s² for the next stop sign. How far apart are the stop signs?