Question

A cat chases a mouse across a 0.65 m high

table. The mouse steps out of the way, and
the cat slides off the table and strikes the floor
2.7 m from the edge of the table
The acceleration of gravity is 9.81 m/s2.
What was the cat's speed when it slid off
the table?
Answer in units of m/s.

Answer 1

V = 7.5 m/s

Step-by-step explanation:

Projectile motion is a two dimensional motion experienced by an object or particle that is subjected near the surface of the Earth and moves along a curved path under the influence of gravity only. The path followed by projectile motion is called projectile path.

As the cat followed the projectile path, and we know that in projectile motion the horizontal component of the velocity remains constant throughout its motion. So there is no acceleration along horizontal path.

Given data :

Height = y = 0.65 m

Horizontal distance = x = 2.7 m

Gravitational acceleration = g = 9.81 m/s²

Velocity when cat slid off the table = V = ?

As the cat slides off horizontally, So there is no vertical component of velocity or vertical component of velocity is zero.

Using 2nd equation of motion

y = 0.5 gt²

0.65 = 0.5*9.8*t²

t² = 0.1326

t = 0.36 s

Velocity when cat slid off the table = V = x / t

V = 2.7 / 0.36

V = 7.5 m/s