Answer:
6.53 m/s²
Explanation:
Let m₁ = 5 kg and m₂ = 10 kg. The figure is attached and free body diagrams of the objects are also attached.
Both objects (m₁ and m₂) have the same magnitude of acceleration(a). Let g be the acceleration due to gravity = 9.8 m/s². Hence:
T = m₁a (1)
m₂g - T = m₂a (2)
substituting T = m₁a in equation 2:
m₂g - m₁a = m₂a
m₂a + m₁a = m₂g
a(m₁ + m₂) = m₂g
a = m₂g / (m₁ + m₂)
a = (10 kg * 9.8 m/s²) / (10 kg + 5 kg) = 6.53 m/s²
Both objects have an acceleration of 6.53 m/s²
Answer:

Explanation:
Given that,
Initial speed of a shuttlecock, u = 30 m/s
Final speed of the shuttlecock, v = 10 m/s
Time, t = 0.5 s
We need to find its average acceleration. The acceleration of an object is equal to the change in speed divided by time taken. It is given by :

So, the average acceleration of badminton shuttlecock is
.
Acceleration = change of velocity / time taken = 25/5 = 5 m/s/s