QUESTION IMAGE
Question
- i drove 240km east this weekend. it took 6 hours. what was my average velocity? (40km/hr east)
- during track practice i ran 4 laps around the track. 1 lap is 400m, what is the distance i ran? what is my displacement?
- after stopping at a stop sign, i started from rest and reached a velocity of 30m/s east after 5 seconds. what was my average acceleration? (6m/s²)
- a ball is thrown straight downward at 10m/s, 4 seconds later it is now falling downward at 50m/s. what is the balls acceleration? (10m/s²)
- a deer jumped in front of my car while driving 80m/s east and i slammed on the brakes. i came to a complete stop 4 seconds later. what was the acceleration? (-20m/s² or 20m/s² west)
- order the ticker tape graphs below from slowest to fastest speed.
a.
b.
c.
d.
Response
7.
Step1: Recall velocity formula
$v=\frac{d}{t}$, where $v$ is velocity, $d$ is displacement, $t$ is time.
Step2: Substitute values
$d = 240$ km, $t=6$ h, so $v=\frac{240}{6}=40$ km/h east.
Step1: Calculate distance
Distance = number of laps×length of 1 - lap. So distance = $4\times400 = 1600$ m.
Step2: Determine displacement
Since running 4 laps brings you back to the starting - point, displacement = 0 m.
Step1: Recall acceleration formula
$a=\frac{v - u}{t}$, where $a$ is acceleration, $v$ is final velocity, $u$ is initial velocity, $t$ is time.
Step2: Identify values
$u = 0$ m/s, $v = 30$ m/s, $t = 5$ s. Then $a=\frac{30 - 0}{5}=6$ m/s².
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40 km/h East