You are driving down the road and hit a bump which causes your fishing tackle box to bounce out of the bed of your pickup. The box decelerates at a rate of 3 m/s¶ and skids 24 meters before coming to a stop. How fast were you traveling when the box fell out?

V^2 = Vo^2 + 2a*d

V^2 = Vo^2 - 6*24 = 0
Vo^2 = 144
Vo = 7 m/s = Initial velocity of the block = Speed of the truck.

60 mph

To find out how fast you were traveling when the box fell out, we can use the equation for deceleration:

v^2 = u^2 + 2as

Where:
- v is the final velocity (which is 0 since the box comes to a stop),
- u is the initial velocity (what we're trying to find),
- a is the deceleration (-3 m/s²), and
- s is the distance (24 meters).

Rearranging the equation, we get:

u^2 = v^2 - 2as

Since v is 0, the equation simplifies to:

u^2 = -2as

Now we can substitute the given values and solve for u.

u^2 = -2(-3 m/s²)(24 m)
u^2 = 144 m²/s²
u = sqrt(144 m²/s²)
u = 12 m/s

Therefore, you were traveling at a speed of 12 m/s when the fishing tackle box fell out.