Question

Solve this question. In a movie the FBI is investigating an assassination attempt on the life of the president. The settings is a parade in New York, and an amateur photographer has made a videotape if the passing motorcade. A careful examination of the tape shows in the background a falling object that turns out to be a pair of binoculars used by the would-be assassin. From the tape the FBI is able to determine that the binoculars fell the last 12 m before hitting the ground in 0.38 seconds it is important to them to know the height and hence the building floor, from which the binoculars were dropped. Can this be determined from the given info? If so, from what height where the binoculars dropped? (g =9.8m/s²)​

Answer 1

faster you throw a ball, the higher it will go.

faster the binoculars were falling, the higher they were dropped from

Yes, the FBI can determine the height from which the binoculars were dropped from the given information. The following steps can be used to calculate the height:

1. Calculate the final velocity of the binoculars using the following formula:

```

final_velocity = sqrt(2 * g * initial_height)

```

where:

* `g` is the acceleration due to gravity (9.8 m/s²)

* `initial_height` is the height from which the binoculars were dropped

In this case, the initial height is given as 12 m. So, the final velocity of the binoculars is:

```

final_velocity = sqrt(2 * 9.8 * 12) = 22.4 m/s

```

2. Calculate the height from which the binoculars were dropped using the following formula:

```

height = final_velocity^2 / 2 * g

```

In this case, the final velocity is 22.4 m/s and the acceleration due to gravity is 9.8 m/s². So, the height from which the binoculars were dropped is:

```

height = 22.4^2 / 2 * 9.8 = 1152.48 m

```

Therefore, the FBI can determine that the binoculars were dropped from a height of 1152.48 meters.

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