A hot air balloon has just lifted off and is rising at the constant rate of 1.8 m/s. Suddenly, one of the passengers realizes she has left..?
...her camera on the ground. A friend picks it up and tosses it straight upward with an initial speed of 11.2 m/s. If the passenger is 2.5m above her friend when the camera is tossed, how high is she when the camera reaches her?
- NCSLv 71 month ago
We can't find her height directly. But after some time t, the camera and passenger will have the same height:
h = 2.5m + 1.8m/s*t - ½gt² = 11.2m/s*t - ½gt²
dropping units for ease (t is in seconds)
2.5 + 1.8t = 11.2t
2.5 = 9.4t
t = 0.266 s
h = 2.5m + 1.8m/s*0.266s - ½*9.8m/s²*(0.266s)² = 2.6 m
h = 11.2m/s*0.266s - ½*9.8m/s²*(0.266s)² = 2.6 m