4. A bus decreases its speed from 80 km/h to 60 km/h in 5 s. Find the acceleration of the bus.
Answers
A bus decreases its speed from 80 km/h to 60 km/h in 5 s.
Given that, starting speed means the initial velocity (u) of the bus is 80 km/hr.
And ending or final velocity (v) of the bus is 60 km/hr.
Also given that, time (t) is 5 seconds.
We have to find the acceleration of the bus.
Using First Equation of Motion i.e.
v = u + at
Given time is in seconds and speed is in km/hr. So, convert the speed in m/s.
Initially velocity (u) = 80 × 5/18 = 22.22 m/s
Final velocity (v) = 60 × 5/18 = 16.67 m/s
Substitute them in the above formula
→ 16.67 = 22.22 + a(5)
→ 16.67 - 22.22 = 5a
→ -5.55 = 5a
→ -1.11 = a
(Negative sign shows the deceleration or retardation)
Therefore, the deceleration of the bus is -1.11 m/s².
......
QUESTION :
4. A bus decreases its speed from 80 km/h to 60 km/h in 5 s. Find the acceleration of the bus.
SOLUTION :
From the above Question, we can get the following information...
U = 80 kmph = 80 × { 5 / 18 } m / s = 22.22 m / s
V = 60 kmph = 60 × { 5 / 18 } m / s = 16.67 m / s
Time, T = 5 s
According to Newton's First Equation Of Motion,
a = { V - U } / t
=> a = { 22.22 - 16.67 } / 5 m / s ^ 2
=> a = -1.11 m / s ^ 2
So, the deceleration of the bus is 1.11 m / s ^ 2.
ANSWER :
The deceleration of the bus is 1.11 m / s ^ 2.