Question

A cat is chasing a mouse across a 1.3 m tall dining table. The mouse darts to the side and the cat accidentally slides off, landing clumsily 0.75 m away from the edge of the table. How long did it take the cat to hit the ground? (1 point)

0.78 seconds

0.51 seconds

0.27 seconds

0.95 seconds


Using the information you solved for in problem 9, how fast was the cat moving when it fell off the table? (1 point)

2.97 m/s

1.45 m/s

3.81 m/s

6.93 m/s

Answer 1

Answer:

1) 0.51 seconds.

2) 1.45 m/s.

Explanation:

given, height from which cat falls = 1.3 m

we know that, s = ut + $\frac{1}{2}$at².

here if we consider cat moment only in downward direction,

intial velocity of cat in downward direction , u = 0.

so, time, t = $\sqrt{\frac{2h}{g} }$.

⇒ t = $\sqrt{\frac{2(1.3)}{9.81} }$ = 0.51 seconds.

t = 0.51 seconds.

now, consider cat moment only in forward direction

s = ut , since acceleration is zero in forward direction

⇒ u = $\frac{s}{t}$.

so, u = $\frac{0.75}{0.51}$ = 1.45 m/s .