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Physics 101 help please!?
Problem 2 (6 marks). You are running to catch a bus which has just started to
move away from the stop. You are on a flat, straight road and you and the bus both
start from zero velocity at time t = 0 s. Given the data below:
Object Acceleration Max speed Stamina
Human 0 – 30 km/h in 5 s 30 km/h Can go at top speed for 10 s.
Bus 0 – 50 km/h in 15 s 50 km/h Can go at top speed for a long
time
a) How far can you run before you get exhausted?
b) How far has the bus moved in the meantime?
c) Based on your answers in the first 2 parts, what is the maximum distance you
can be behind the bus to catch up with it? (Whether the driver sees you and
stops the bus to let you on is another question.)
2 Answers
- TechnobuffLv 73 years agoFavourite answer
Time human runs = 15s.
Bus.
(50/3.6) = 13.89m/sec.
Acceleration = (v/t) = (13.89/15) = 0.926m/sec^2.
Distance of acceleration = (v^2/2a) = (13.89^2/1.582) = 104.175 metres.
The acceleration took 15s., same time human has run.
The bus has covered 104 metres.
- Anonymous3 years ago
N