8. A scooter acquires a velocity of 36km/hr in 10seconds just after the start. It takes 20
seconds to stop. Calculate the acceleration in the two cases.
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Greetings,
The answer to your question is typed below↓
_______________________________________________
Given:
______________________________
Case 1: ( after start )
initial velocity [ u ] = 0
final velocity [ v ] = 36 km/hr = 10 m/s [ ∵ 1 km/hr = 5/18 m/s]
time [ t ] = 10 s
______________________________
Case 2: ( Before Stoppin')
u = 10m/s
v =0
t = 20 s
______________________________
Sol: (For 'Case 1')
Substituting the values of 'Case 1' in the 1st equation of motion; v=u+at
We get↓
⇒10 = 0 + a x 10
⇒ a = 1 m/s²
__________________________________________________
Sol: (For 'Case 2')
Similarly:
For Retarding bodies, v = u - a x t
∴ Substituting values for 'Case 2' in the equation;
We get : ↓
⇒ 0 = 10 - a x 20
⇒ a x 20 = 10
⇒ a = 10/20
⇒ a= 1/2
⇒ a = 0.5 m/s²
∴
Acceleration in the 1st case = 1 m/s²
Retardation in the second case = 0.5 m/s²
______________________________________________
P.S: Enjoy ;)
The answer to your question is typed below↓
_______________________________________________
Given:
______________________________
Case 1: ( after start )
initial velocity [ u ] = 0
final velocity [ v ] = 36 km/hr = 10 m/s [ ∵ 1 km/hr = 5/18 m/s]
time [ t ] = 10 s
______________________________
Case 2: ( Before Stoppin')
u = 10m/s
v =0
t = 20 s
______________________________
Sol: (For 'Case 1')
Substituting the values of 'Case 1' in the 1st equation of motion; v=u+at
We get↓
⇒10 = 0 + a x 10
⇒ a = 1 m/s²
__________________________________________________
Sol: (For 'Case 2')
Similarly:
For Retarding bodies, v = u - a x t
∴ Substituting values for 'Case 2' in the equation;
We get : ↓
⇒ 0 = 10 - a x 20
⇒ a x 20 = 10
⇒ a = 10/20
⇒ a= 1/2
⇒ a = 0.5 m/s²
∴
Acceleration in the 1st case = 1 m/s²
Retardation in the second case = 0.5 m/s²
______________________________________________
P.S: Enjoy ;)
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