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a ball is thrown initial velocity 15.4ms for how long is the ball higher than 10.5 metres?

0 votes

a ball is thrown initial velocity 15.4ms for how long is the ball higher than 10.5 metres?

dont know how to work it out.

asked Feb 28, 2014 in CALCULUS by linda Scholar

1 Answer

0 votes

Initial velocity of the ball image.

I am assuming that the ball is throwing upwards so that the acceleration due to gravity is negative.

We have the relation of motion image.

Here v is final velocity, u is initial velocity, a is acceleration due to gravity, s is displacement.

We know that acceleration due to gravity is image.

Since the ball is moving upwards, final velocity is zero i.e image.

On substituting

image

image

Since the acceleration is decreasing image.

image

image

image

The ball can go upto 12.1m.

To find how long it is higher than 10.5m, subtract 10.5 from 12.1.

image.

So, it is 1.6 meters higher.

answered Apr 24, 2014 by Johncena Apprentice

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