a ball.starts from rest and accelerate at 0.500m/s^2 while moving down with an inclined plane 9.00 m long.when it reaches at the botom ball rolls up another plan,where after moiving 15.0 m it comes to rest.what is the speed of ball in 8.0m plane
Answers
Answer:
Speed Of Ball = 1.50.. m/s approx.
Explanation:
Case (1):
initial velocity of ball (u) = 0m/s
final velocity of ball (v) = ?
displacement (s) = 9m
time (t) = ?
acceleration of the ball (a) = 0.5 m/s²
To find the Final velocity :
v²- u² = 2as
v²- 0 = 2(0.5)(9)
v² = 9
v = √9
v = 3 m/s
Case (2):
From Case (1) we get final velocity which is now our initial velocity. Therefore :-
initial velocity of ball (u) = 3 m/s
final velocity of ball (v) = 0 m/s
displacement (s) = 8 m
time (t) = ?
acceleration of the ball (a) = ?
To find Speed Of the Ball :
Speed = Distance / Time
So, For Time we will use kinematic formula
a = v - u / t
t = v - u / a
v²- u² = 2as
0 - (3)² = 2×a×8
- 9 / 16 = a
t = 0 - 3 / - 9 / 16
t = 5.333.. second
So, Time of ball per meter is 1 second in plane.
Speed Of Ball = Distance / Time
Speed = 8/5.333...
= 1.50 m/s approx.
Hence, Speed Of Ball in 8.0m plane approximately be 8 m/s.
If Wrong Please Correct Me.✅