# Physics

posted by .

By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.4 m. If, in the course of an hour, the frog spends 32% of the time resting and 68% of the time performing identical jumps of that maximum length, in a straight line, what is the distance traveled by the frog?

• Physics -

Yes, it's a super frog.

• Physics -

The time of jumping is
0.68•3600 = 2448 sec.
The distance covered by this small “projectile” (the frog) during 1 jump is
L =v²•sin2α/g.
We have Lmax => sin2α =1 and α = 45º.
Lmax= v² /g.
v =sqrt(Lmax•g) = sqrt(1.4•9.8) =3.7 m/s.
The time of 1 jump is
t = 2•v•sin α/g = 2•3.7•sin45º/9.8 =0.53 sec.
During the hour the frog made N jumps:
N = 2448/0.53=4619.
The total distance is
1.4•4619 =6467 m.

## Similar Questions

1. ### +1 SCIENCE PHYSICS

A FROG SAW AN INSECT ON THE GROUND AT A HORIZONTAL DISTANCE OF 30 METER FROM IT. THE FROG CAN JUMP WITH A SPEED 20 METER/SECOND IN ANY DIRECTION. IT JUMPS WITH HIS INITIAL SPEED AND LAND ON THE INSECT. A: WHAT IS THA TYPE OF MOSSION …
2. ### pre-calc

path of a frogs leap: a frog leaps from a box 3 feet high and lands 4 feet from the base of the stump. we can consider the initial position of the frog to be at (0,3) and its landing position to be at (4,0). it is determined that the …
3. ### Algebra

To determine the question use Frogs F and G are 5cm to cube and 40cm to cube. a. Ratio What are ratio volumes and surface areas for a frog?
4. ### Algebra

To determine the question use Frogs F and G are 5cm to cube and 40cm to cube. a. Ratio What are ratio volumes and surface areas for a frog?
5. ### Math

To determine the question use Frogs F and G are 5cm to cube and 40cm to cube. a. Ratio What are ratio volumes and surface areas for a frog?
6. ### Physics

A frog is jumping around its pond. At some time t , the frog is in mid-jump and has a kinetic energy of 1 J and a momentum of magnitude 0.5 kg⋅m/s . What is the mass of the frog in kg?
7. ### Math

Flights of leaping animals typically have parabolic paths. The figure illustrates a frog jump superimposed on a coordinate plane. The length of the leap is 9 feet, and the maximum height off the ground is 3a feet. Find a standard equation …
8. ### physics

By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.49 m. If, in the course of an hour, the frog spends 32.5 % of the time resting and 67.5 % of the time performing identical jumps of that maximum …
9. ### Physics

By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.26 m. If, in the course of an hour, the frog spends 27.5 % of the time resting and 72.5 % of the time performing identical jumps of that maximum …
10. ### Physics

By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.26 m. If, in the course of an hour, the frog spends 27.5 % of the time resting and 72.5 % of the time performing identical jumps of that maximum …

More Similar Questions

Post a New Question