when a car travel at a speed of 60km/he applies brake it comes to rest in 15s then the retardation of the car is
Answers
Given
- a car travel at a speed of 60 km/h applies brake it comes to rest in 15 s
To Find
- Retardation of the car
Concept Used
- Retardation and acceleration are both same but opposite in direction
Solution
Initial velocity , u = 60 km/h = 16.67 m/s²
Final velocity , v = 0 m/s
Since , finally comes to rest
Time , t = 15 s
Acceleration , a = ? m/s²
Apply 1st equation of motion ,
⇒ v = u + at
⇒ (0) = (16.67) + a(15)
⇒ 15a = -16.67
⇒ a = -1.12 m/s²
Step-by-step explanation:
QUESTION -
when a car travel at a speed of 60km/he applies brake it comes to rest in 15s then the retardation of the car is
FORMULA USED HERE :
a = ( v + u ) / 2 × t
V = u + at
Method to do -
Just by converting the initial velocity in meter per second and apply the formula to find out the actual result .
Additional -
Retardation - It refer to the negative form of acceleration means when the moving object or body covers any distance in opposite direction from the target .
SOLUTION -
using formula ,
v= u + at
Then,
initial velocity = 60 km/hrs
=( 60×1000) / 60 × 60
= 16.67m/s
final velocity = 0m/s
time taken = 15 seconds
So ,
v = u + at
0 = 16.67 + 15a
a= - 16.67 / 15 m/s²
a = - 1.11m/s²