A girl accidentally drops her stuff toy at from the lobby of a 10-storey hotel where they are staying during their vacation. A gardener working on ground saw what happened and tried tp catch the toy before it reaches the ground. If it takes 4 seconds for the stuff toy to get into the hands of the gardener, what is the velocity of the toy when the gardener catches it?
v = -gt = -9.81*4 = ____ m/s
To determine the velocity of the toy when the gardener catches it, we need two pieces of information: the distance the toy traveled and the time it took to cover that distance.
In this case, we know that the toy dropped from a height equivalent to 10 stories, which is most likely an approximation of around 100 feet (as each story of a building is typically around 10 feet). We can convert this to meters, assuming 1 foot is approximately 0.3048 meters, giving us around 30.48 meters in total.
The time it took for the toy to reach the gardener's hands was given as 4 seconds.
Now, we can calculate the velocity using the equation: velocity = distance/time.
Plugging in the values, we have: velocity = 30.48 meters / 4 seconds.
Evaluating this expression, we find that the velocity of the toy when the gardener catches it is approximately 7.62 meters per second.
To find the velocity of the toy when the gardener catches it, we need to consider the distance traveled by the toy and the time taken to cover that distance.
Given that it takes 4 seconds for the toy to reach the gardener's hands, we can assume that it fell freely under gravity. Therefore, we can use the equation of motion:
distance = 0.5 * acceleration * time^2
Since the acceleration due to gravity is approximately 9.8 m/s^2, and the time taken is 4 seconds, we can calculate the distance using the above equation:
distance = 0.5 * 9.8 * (4^2)
distance = 0.5 * 9.8 * 16
distance = 78.4 meters
Now that we know the distance traveled by the toy, we can find its velocity:
velocity = distance / time
velocity = 78.4 / 4
velocity = 19.6 m/s
Therefore, the velocity of the toy when the gardener catches it is 19.6 m/s.