A Pebble thrown vertically upward with an initial velocity 500 m/s comes to a stop in 25seconds. Find the retardation. *
Answers
Answer:
u = 500 m/s
v = 0 m/s
t = 25 s
Then,
a = v - u / t
a = 0 - 500 / 25
a = -500 / 25
a = -20 m s−2
Ans : Retardation = 20 m s−2
Explanation:
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Given that, a pebble thrown vertically upward with an initial velocity 500 m/s. Here, the initial velocity i.e. u is 500 m/s.
The pebble stops in 25 seconds. Here, time 't' is 25 seconds. Whereas the final velocity 'v' of the pebble is 0 m/s.
We have to find the retardation of the pebble.
Using the First Equation Of Motion,
v = u + at
From above data, we have v = 0 m/s, u = 500 m/s and t = 25 sec
If we substitute these values in the above we can find the value of acceleration.
→ 0 = 500 + a(25)
→ 0 = 500 + 25a
→ -500 = 25a
Divide by 25 on both sides
→ -500/25 = 25a/25
→ -20 = a
→ a = - 20
On solving we get acceleration = -20 m/s². (Negative sign shows retardation)
Therefore, the retardation is -20 m/s².