Question

A child blows a leaf straight up in the air from rest. The leaf accelerates at 1.0\,\dfrac{\text m}{\text s^2}1.0 s 2 m1, point, 0, space, start fraction, m, divided by, s, start superscript, 2, end superscript, end fraction upward.How much time does it take the leaf to displace 1.0\,\text m1.0m1, point, 0, space, m upwards?

Answer 1

Answer:

1.4

Explanation:

if its 1 m/s then just get the root of 2

Answer 2

Answer:

Time taken by the leaf to displace by 1.0 m distance is

$t = \sqrt2$ seconds

Explanation:

As we know that initial velocity of the leaf is given as

$v_i = 0$

now the acceleration upwards for the leaf is

$a = 1 m/s^2$

The displacement of leaf in upward direction is

d = 1 m

so now we have

$d = v_i t + \frac{1}{2}at^2$

$1 = 0 + \frac{1}{2}(1) t^2$

$t = \sqrt2$ seconds