Question

An angry soccer player uses dynamite to blow the rival teams stadium apart after a close loss. Debris from the explosion flies off in all directions and is later found at distances as far as 50 m from the explosion. Estimate the maximum speed at which debris was blown outward by the explosion.

Answer 1

The maximum speed is
`u = 22 \ m/s`

Step-by-step explanation:

From the question we are told that

The distance covered by the debris is
`R = 50 \ m`

The maximum range of the debris projectile is mathematically represented as

`R = ( u^2 sin^2 \theta )/(g)`

At maximum
`\theta = 90 ^o`

Now making u which is the maximum speed at which debris was blown outward by the explosion.

we have

`u = \sqrt{(R * g )/( sin ^2 \theta ) }`

substituting values

`u = \sqrt{(50 * 9.8 )/( [sin 90] ^2) }`

`u = 22 \ m/s`