Physics
11.05.2021 17:44
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You drop a batitin a stationary elevator and the ball hits the floor in o 50 s.

You drop a batitin a stationary elevator and the ball hits the floor in o 50 s. how long does it take for the ball to hit the floor if the elevator was atready moving up with a constant speed of 1 0 m's when you dropped the ball: select one a. 0.61 s b. 0.82 s c. 0.41 s d. 0.50 s
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faithlopez209
faithlopez209
4,5(19 marks)

Time taken to hit the floor, t = 0.61 s

Option a.

Given:

t = 0.50 s

Solution:

Initial velocity of the ball when dropped, u = 0 m/s

Now, using second equation of motion when acceleration due to gravity acts:

h = ut + \frac{1}{2}gt^{2}

h = 0 + \frac{1}{2}\times 9.8\times 0.5^{2}

h = 1.225 m

Now, when the lift moves in the upward direction with a constant speed of 1.0 m/s, u = - 1.0 m/s

Time taken by the ball to hit the floor travelling a distance h = 1.225 m is given by:

h = ut + \frac{1}{2}gt^{2}

Now,

1.225 = - 1.0t + \frac{1}{2}\times 9.8\times t^{2}

4.9t^{2} -t -1.225 = 0

Solving the above quadratic equation, we get:

t = 0.612 s  = 0.61 s

darius12318
darius12318
4,9(93 marks)
Deceleration = Change in velocity(u-v) / time taken(t)

initial velocity - final velocity / time

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