Welcome back — missed you this week.
Step 1: Convert the initial velocity from kilometers per hour to meters per second.
u=72km/hr×1km1000m×3600s1hr
u=360072×1000 m/s
u=360072000 m/s
u=20 m/s
Step 2: Identify the final velocity and time.
The bus is brought to rest, so the final velocity v=0 m/s.
The time taken is t=10 s.
Step 3: Use the first equation of motion to find the acceleration.
The formula is v=u+at.
Rearrange to solve for a:
a=tv−u
Substitute the values:
a=10s0m/s−20m/s
a=10s−20m/s
a=−2m/s2
Step 4: State the deceleration.
Deceleration is the magnitude of the negative acceleration.
Deceleration =∣a∣=∣−2m/s2∣=2m/s2.
The deceleration/retardation of the bus is 2m/s2.
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