a car accelerates uniformly from 18 km/h to 36 km/h in 5s. calculate (1) the acceleration (2) the distance covered by the car in that time
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Solution
Given,
- a car accelerates uniformly from 18km/b to 36km/hr in 5s .
To find ,
- the acceleration
- the distance covered by the car in that time
Now ,
we are given here ,
- U = 18km h^-1 = 5 m s^ -1
- V = 36 km h^-1 = 10m s ^-1
- t = 5s
to find the acceleration
We know that
- to find the solution we have to use the equation a= v-u/t
putting the value in the equation we get ;
=> 10m s^-1 - 5m s^-1 / 5s
=> 5 m s^-1 / 5 s
=> 1 m s^-2
The acceleration is 1 m s^-2
to find the distance covered by the car in that time
- to find the distance covered by the car we have to use the third equation of motion s=ut+1/2at^2
putting the value in the formula we get ;
=> 5m s^-1 × 5s + 1/2 × 1 m s^-2 × (5s^2)
=> 25m + 12.5 m
=> 37•5m
the distance covered by the car in that time is 37•5 m
The acceleration is 1ms^-2 and distance covered is 37•5m .
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