a bus decreases its speed from 80 kilometre per hour to 50 km per hour in 4 seconds find the acceleration of the bus
Answers
Answer:
7.5
Explanation:
a=v/t
80-50/4
=7.5
Given data : Bus decreases it's speed from 80 km/hr to 50 km/hr in 4 sec.
To find : The acceleration of the bus ?
Solution : According to given,
→ initial velocity, ( u ) = 80 km/hr
→ final velocity, ( v ) = 50 km/hr
→ time taken by bus to decrease it's speed, ( t ) = 4 sec
Here, { we convert velocity of bus, km/hr to m/s }
→ initial velocity ( u ) = 80 km/hr
→ initial velocity ( u ) = {80*1000/60*60} m/s
→ initial velocity ( u ) = 80000/3600 m/s
→ initial velocity ( u ) = 200/9 m/s
Similarly,
→ final velocity ( v ) = 50 km/hr
→ final velocity ( v ) = {50*1000/60*60} m/s
→ final velocity ( v ) = 50000/3600 m/s
→ final velocity ( v ) = 125/9 m/s
Now, we use kinematical equation to find acceleration of the bus
→ v = u + at
→ 125/9 = 200/9 + a * 4
→ 125/9 - 200/9 = a * 4
→ - 75/9 = a * 4 i.e.
→ a * 4 = - 75/9
→ a * 4 = - 25/3
→ a * 4 = - 75/9
→ a * 4 = - 8.33
→ a = - 8.33/4
→ a = - 2.0825 m/s²
Answer : Hence, the acceleration of the bus is - 2.0825 m/s².
{Note : in case : when an object is slowing down, the acceleration is in the opposite direction as the velocity. Thus, this object has a negative acceleration.}
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