Final answer:
The camera takes approximately 2.3 seconds to reach the ground when free fall at a speed of 10m/s and the parachutist releases the camera at an altitude of 50m
Step-by-step explanation:
The question states that a parachutist descends in free fall at a speed of 10 m/s. To find the time it takes for the camera to reach the ground, we can use the equation of motion S = ut + 1/2at² where S is the distance covered by the object, u is the initial velocity, a is the acceleration, and t is the time taken.
Substituting this value in the formula to get the time we have;
50 = 10t + 1/2(10)t²
50 = 10t + 5t²
5t²+10t-50 = 0
Dividing through by 5 we have;
t²+2t-10 =0
Factorizing and using the general formula we have;
-2±√4+40/2
-2±√44/2
-2+√44/2
t = 2.3seconds
Therefore it takes the camera 2.3 seconds to reach the ground.
Your question is incomplete but most probably your full question was
A parachutist with a camera descends in free fall at a speed of 10m/s. The parachutist releases the camera at an altitude of 50m. How long does it take the camera to reach the ground?