Hi ......
A bus driver moving at a speed of 100km/hr suddenly sees a goat crossing the highway 49metre ahead. He hit hard on his brake to get a maximum retaliation of 8m/sec² .....
How far will he go before stopping..??
Can he avoid hitting the goat?!
Answers
Answered by
40
Answer:
Given:
Initial velocity of bus = 100 km/hr
Goat at a distance of 49 metres
Max retardation = 8 m/s².
To find:
Distance travelled before bus stops.
Conversion:
Convert speed in km/hr to m/s
100 km/hr = 100 × (5/18) = 27.77 m/s
Calculation:
v² = u² + 2as
=> 0² = (27.77)² + 2 × ( -8) × s
=> 16s = 771.60
=> s = 48.225 metres
The bus will stop after travelling 48.225 metres.
So the bus will not hit the goat.
Answered by
24
Answer:
Bus inital speed = 100km/h
= 100 × 5/18 m/s
= 250/9 = 27.7 m/s
acceleration = -8 m/s^2
As a = v dv/ds
a ds = v dv
integrate [ limit of s => 0-s , limit of v =>27.7-0
-8 s = -(27.7)^2/2
16s = 767.29
s = 47.95
As goat is 49 m ahead
As 49>47.95
So, he avoid hitting the goat
#answerwithquality #BAL
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