A tiger leaps horizontally from a 6.1 m high rock with a speed of 3.9 m/s. How far from the base of the rock will she land?
v o = 3.9 m/s
x = v o t
h = g t² / 2
6.1 m = 9.81 m/s² t² /2
t² = 12.1 / 9.81
t = √12.1/9.81
t = 1.11 s
x = 3.9 m/s * 1.11 s
x = 4.329 m
A tiger will land 4.329 m from the base of the rock.
The horizontal distance (s)= ut+\(\frac{1}{2} g t^{2}\)
Time taken by the ball to hit the ground,
h=\(\frac{1}{2} g t^{2}\)
h=60
60= \(\frac{1}{2}*10* t^{2}\)
60=5\(t^{2}\)
\(t^{2}= \frac{60}{5}\)
t=\(\sqrt{12}\)
Replacing for distance covered
H=ut+\(\frac{1}{2} g t^{2}\)
H=3.9m/s*\(\sqrt{12} + \frac{1}{2} *10* \sqrt{12}^{2}\)
H=13.51+60
=73.51 m