Question

A tiger leaps horizontally from a 5.1 m -high rock with a speed of 3.4 m/s .

How far from the base of the rock will she land?

Answer 1

The tiger will land 5.1 meters from the base of the rock.

Step-by-step explanation:

To find how far the tiger will land from the base of the rock, we can use the equation for horizontal distance:

distance = speed x time

The initial speed of the tiger is given as 3.4 m/s and we want to find the time it takes for the tiger to land. Since there is no horizontal acceleration, the time can be found using the equation:

time = height / (initial speed x cos(angle))

Substituting the given values, we have:

time = 5.1 m / (3.4 m/s x 1) = 1.5 s

Now, we can calculate the horizontal distance:

distance = speed x time

distance = 3.4 m/s x 1.5 s = 5.1 m

Therefore, the tiger will land 5.1 meters from the base of the rock.