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Average velocity and RC Truck Sample Problem
Homework 2
Imagine you drive an RC truck along a straight road for 0.7 km at 20 km/h. Here, your truck runs out of battery
and stops. Over the next 30 min, you walk 2.0 km farther along the road to a hobby store.
TEAM
1. What is your total displacement from the beginning of your drive to your arrival at the hobby store?
2.What is the time interval At from the beginning of your drive to your arrival at the hobby store?
3.What is your average velocity Vavg from the beginning of your drive to your arrival at the hobby store?
Express your answer both with numbers and a graphic.
0:59.20 / 1:04:43​

Answer 1

Answer:

1) x_total = 2.7 km=2700 m, 2)   t_total = 1926 s,  3)   v_avg = 1.40 m / s

Explanation:

1) To solve this uniform velocity problem, we must find the displacement of each part and add them.

        x_total = x₁ + x₂

        x_total = 0.7 + 2.0

        x_total = 2.7 km

2) how long does it take for this tour

         

truck

        v = x₁ / t₁

        t₁ = x₁ / v

        t₁ = 0.7 / 20

        t₁ = 0.035 h

Let's reduce the time to the SI system

         t₁ = 0.035 h (3600 s / 1h) = 126 s

when he is walking

         t₂ = 30 min (60 s / 1min) = 1800 s

the total time is

        t_total = t₁ + t₂

        t_total = 126 + 1800

        t_total = 1926 s

3) the average velocity is defined as the displacement in the inerval between time

        v_avg = x_total / t_total

         v_avg = 2700/1926

         v_avg = 1.40 m / s