1. Ramesh writes his cocotter with a speed of 72
km pli hour and applies breaks and come to
stop in 10 seconds find acceleration distance
Covered
by him before he stop
Answers
Initial speed of the scooter is 72 km/hr and after applying brakes final velocity becomes 0 km/hr. The scooter comes to rest in 10 seconds.
We have to find the acceleration and distance covered by Ramesh.
To convert km/hr into m/s. Multiply with 5/18.
Initial speed = 72*5/18 = 20 m/s and final velocity = 0 m/s.
Using the First Equation Of Motion:
v = u + at
Substitute the known values,
→ 0 = 20 + a(10)
→ -20 = 10a
→ -2 = a
(Negative sign shows retardation)
Therefore, the acceleration of the scooter is 2 m/s².
Now, for distance
Using the Third Equation Of Motion:
v² - u² = 2as
Substitute the values,
→ (0)² - (20)² = 2(-2)(s)
→ 0 - 400 = -4s
→ 100 = s
Therefore, the distance covered by the scooter is 100 m.
QUESTION :
Ramesh rides his scooter with a speed of 72 km per hour and applies breaks and come to stop in 10 seconds find acceleration distance Covered by him before he stops
GIVEN :
- initial velocity
= 72 km / hr = 72 × 5 /18 = 20 m / s
( in order to convert it into m / s multiply it by 5 / 18 )
- final velocity = 0
- time taken = 10 sec
FORMULA :
- v = u + a t
here ,
- v = final velocity
- u = initial velocity
- a = acceleration
- t = time taken
- s = ut + at ² / 2
here,
- s = distance
SOLUTION :
v = u + a t
0 = 20 + a 10
a = - 20 / 10
a = - 2 m / s ²
( Note : here negative acceleration represents decceleration )
s = u t + 1× a × t ²/ 2
s = 20×10 - 2 × 100 / 2
s = 200 - 100
s = 100 m
ANSWER :
- acceleration = - 2 m / s ²
- distance = 100 m