Question

At a construction site a pipe wrench struck the ground with a speed of 45 m/s. (a) From what height was it inadvertently dropped? (b) How long was it falling?

Answer 1

Kinematics Equations:

Vx1 = Vx0 + axΔt
(Vx1)^2 = (Vx0)^2 + 2axΔx
Δx = Vx0Δt + ½ ax(Δt^2)


Using the second kinematics equation, we can solve for Δx.

(Vx1)^2 = (Vx0)^2 + 2axΔx


Plug in what you know:

(45 m/s)^2 = (0 m/s) + 2(9.8m/s^2)(? m)

2025 m^2/s^2 = (19.6 m/s^2)(? m)

(? m) = (2025 m^2/s^2)/(19.6 m/s^2)

? m = 103.3163265
(sig figs) = 100 m

Δx = 100m
-----------------------------------

Using the first kinematics equation, we can solve for Δt.

Vx1 = Vx0 + axΔt


Plug in what you know:

Vx1 = Vx0 + axΔt
45 m/s = 0 m/s + (9.8 m/s^2)(Δt)
Δt = (45 m/s)/(9.8 m/s^2)
Δt = 4.591836735
(sig figs) =
Δt = 4.6 s

Let me know if that helped you!

Answer 2

yes it did help and i get it now thank you

Answer 3

shouldn't acceleration be -9.8 and not +9.8 since it freefalling in the negative direction?