Name Position-Time Graphs PS (d vs t graphs) Directions: Consider the following

Question

Name Position-Time Graphs PS (d vs t graphs) Directions: Consider the following 1. What are the units of the slope of a position-time graph? 2. What does the slope of a position-time graph represent? velO 3. Consider the following automobile trip. Let the letters represent 3 hour time intervals. PeriodDate position-time graphs to answer the questions. m/s Automobile Trip to Grandma's P 300 -a. Describe the trip. b. During which interval(s) is velocity positive? c. During which interval(s) is velocity negative? d. During which interval(s) 0 s 270 240 210 n 180 is the car stopped? 0 e. What is the total distance traveled for the trip? f. What is the total in 120 M 90 E 60 30 g. Calculate the velocity for h. Calculate the velocity for i. Calculate the velocity for displacement of the trip? time interval A time interval C time interval D 9 12 15 Time (hours)

Explanation / Answer

for the given position time graph

1. slope of the position time graph has units of m/s

2. slope of a position time graph represents instantaneous velocity at that point of time

3. a. part A : the car moves with constant velocity 90/3 = 30 mi/h for 3h

part B : car moves wit constant velocuty 180/3 = 60 mi/h for next 3 h

part C : car stays at rest for 3 hr

part D : v = -60 mi/h for nxt 3 h

part E : v = -30 mi/hr for the next 3 hr

b. v is +ve from t = 0 to t = 6 hr

c. v is -ve during t = 9 to t = 15 hr

d. car stops at interval C, t = 6 to t = 9 hr

e. total distance = 2*270 = 540 m

f. total dispalcement = 0 m

g. velocity A = 30 mi/h

h. Vc = 0 mi/h

i Vd = -60 mi/h

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