The acceleration produced the velocity of car increases from 30 km per hour 90 km per hour in 0.2 minute calculate the acceleration produced?
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The acceleration produced the velocity of car increases from 30 km per hour 90 km per hour in 0.2 minute calculate the acceleration produced?
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Answer:
18000km/h² is the required acceleration of the car .
Explanation:
According to the Question
It is given that ,
we need to calculate the acceleration of the car .
Firstly we convert the unit here
Minutes into hour
➻ 1 hour = 60min
➻ 1min = 1/60 hour
➻ 0.2min = 1/60× 2/10
➻ 0.2 min = 2/600 = 1/300 hour.
As we know that acceleration is defined as the rate of change in velocity at per unit time.
where,
a denote acceleration
v denote final velocity
u denote initial velocity
t denote time taken
Substitute the value we get
➻ a = 90-30/ ÷ 1/300
➻ a = 60×300/1
➻ a = 18000km/h².
Given :-
The acceleration produced the velocity of car increases from 30 km per hour 90 km per hour in 0.2 minute
To Find :-
Acceleration
Solution :-
1 km/h = 5/18 m/s
30 km/h = 30 × 5/18 = 5 × 5/3 = 25/3 m/s
90 km/h = 90 × 5/18 = 5 × 5 = 25 m/s
0.2 min = 12 second
a = v - u/t
a = (25 - 25/3)/12
a = (75 - 25/3)/12
a = (50/3)/12
a = 50/3 × 1/12
a = 50/36
a = 1.38 m/s²