A missile is fired and travels at 309 m/s. If the operator discovers that the missile is locked on the wrong target and must be detonated by remote signal before impact, how far will the missile travel if the operator's reaction time to send the signal is 1.21 s?

To calculate how far the missile will travel before being detonated, we can use the formula:

Distance = speed x time

Given:
Speed of the missile = 309 m/s
Reaction time of the operator = 1.21 s

Substituting the values into the formula:

Distance = 309 m/s x 1.21 s

Calculating the distance:

Distance = 374.89 meters

Therefore, the missile will travel approximately 374.89 meters before being detonated by the remote signal.

To determine how far the missile will travel before being detonated, we need to calculate the distance it travels during the operator's reaction time.

First, let's define the variables:
- Initial velocity (v₀) of the missile = 309 m/s
- Reaction time (t) of the operator = 1.21 s

We can use the formula for distance (d) traveled by an object with constant velocity:

d = v * t

Plugging in the values:
d = 309 m/s * 1.21 s
d ≈ 373.89 meters

Therefore, the missile will travel approximately 373.89 meters before it is detonated by the remote signal.

distance=309(1.21)