2. 1D Motion / Kinematics

An antelope moving with constant acceleration covers the distance between two points $70.0$ m apart in $6.00$ s. Its speed as it passes the second point is $15.0$ m/s. What is its acceleration?

Consider the street pattern shown in Fig. 2–51. Each intersection has a traffic signal, and the speed limit is 40 km/h. Suppose you are driving from the west at the speed limit. When you are 10.0 m from the first intersection, all the lights turn green. The lights are green for 13.0 s each. Another car was stopped at the first light when all the lights turned green. It can accelerate at the rate of 2.00 m/s² to the speed limit. Can the second car make it through all three lights without stopping? By how many seconds would it make it, or not make it?                                                                                                                                       

Which of the following is the correct formula for the stopping distance of a vehicle moving with initial speed $v_0$ and coming to rest under constant acceleration $a$ (where $a$ is negative)?

Which of the following is a valid way to construct a motion diagram for an object moving in one dimension?

A car traveling at $55 \text{mph}$ may be able to stop in approximately how many feet under typical road conditions?

A world-class sprinter can reach a top speed (of about 11.5 m/s) in the first 18.0 m of a race. What is the average acceleration of this sprinter and how long does it take her to reach that speed?

Which of these kinematic equations is in the correct chronological order for describing the motion of an object under constant acceleration?

A ball is dropped from rest from a height of $h$ above the ground. Ignoring air resistance, what is the ball's impact speed on the ground below?

A particle moves along the x-axis with initial position $x=2.0m$ and initial speed $v>0$. If the particle never reaches $x=6.0m$, what is the maximum possible initial speed it can have if it is subject to a constant acceleration $a<0$? (Assume acceleration is constant and negative.)

An object moves along a trajectory given by $x=3t+2$ for $0\le t\le 4$ seconds. How far does it travel during this time interval?

Under ideal driving conditions, what is the approximate stopping distance of a car traveling at $50 \mathrm{mph}$?

A jogger travels a route that has two straight segments: the first segment is $1.5$ km due east, and the second segment is $2.0$ km due north. What is the magnitude of the jogger's displacement from the starting point to the end point?