A pencil is dropped from rest from a height of 1.8 meters above the ground. How much time does it take the pencil to hit the ground?

0.60s

Explanation:

Using the motion equation as follows:

S = ut + 1/2gt²

Where;

S = distance travelled (m)

u = initial velocity (m/s)

t = time (s)

g = acceleration due to gravity (m/s²)

Based on the information provided, S = 1.8m, u = 0m/s, t = ?

S = ut + 1/2gt²

1.8 = (0×t) + 1/2 (9.8t²)

1.8 = 0 + 4.9t²

1.8 = 4.9t²

t² = 1.8/4.9

t² = 0.3673

t = √0.3673

t = 0.6060

t = 0.60s

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2