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A body starting from rest slides on an inclined plane AB of length l of inclination theta. Calculate the time of descent and speed at the bottom. Find also:
a) distance covered in half the time of descent and
B) time taken to cover half the distance.
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jeffwin18
adiii22 avatar
adiii22
12.04.2020
Math
Secondary School
+5 pts
Answered
Starting from rest at the top of an inclined plane a body reaches the
bottom of the inclined plane in 4 second. In what time does the body
cover one-fourth the distance starting from rest at the top?
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IamTejas
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Answer: 2 seconds
Step-by-step explanation:
Let the length of the inclined plane be= L
Let the acceleration of the body while sliding be= a
The initial velocity (u) = 0
The time of sliding L distance is 4s,
So,
L = 0 × 4 + 1 2 × a × 4 2
L = 8 a (Mark this as equation 1)
Let the time of sliding of L/4 length from the top when starting from rest be t s,
So,
L 4 = 0 × t + 1 2 a t 2
L 4 = 1/2at 2 (Mark this as equation 2)
Comparing [1] and[2]
8 a 4 = 1 2 a t 2
=t 2 = 4
t = 2
Therefore, Time= 2s