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Standard VIII

Mathematics

Application of Addition and Substitution of Negative Numbers in Everyday Life (Distances)

A frog jumps ...

Question

A frog jumps on a floor marked with a number line as shown. It makes a leap of 2 units in the first second and then jumps for 4 units in the next two seconds. Which of the following statements is true?

It is moving at a constant velocity.

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It is a case of non-uniform motion.

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Its speed is varying.

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Its speed during the motion is 4 units per second.

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Solution

The correct option is A It is moving at a constant velocity.

The speed of the frog is 2 units per second, i.e., 2 in the first second and 4 in the next two seconds.

It is in uniform motion as it travels at a constant velocity, which means:

a) Its direction of motion is unchanged.
b) It is moving at a constant speed.

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Similar questions

(a) In the figure given below, normally in two jumps frog covers the distance of 9m. One day on seeing the snake frog jumped $\frac{1}{5}$ times more than his normal jump and again he jumped with full strength and covered $\frac{1}{2}$ times more distance than he normally covers in the second jump. Find the distance covered by frog in the second jump and in total.

(b) Are the statements below correct?

(i) The rational numbers $\frac{- 21}{5}$ and $\frac{7}{- 31}$ are on the opposite sides of 0 on the number line.

(ii) The rational number $\frac{- 3}{- 5}$ is on the right of $\frac{- 4}{7}$ on the number line.

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Q. If a frog at -7 on the number line takes 9 jumps of one unit each to the right. He would be at _______.

In the figure given below, normally in two jumps frog covers the distance of 9m. One day on seeing the snake frog jumped $\frac{1}{5}$ times more than his normal jump and again he jumped with full strength and covered $\frac{1}{2}$ times more distance than he normally covers in the end of second jump. Find the distance covered by frog in second jump and in total. [4 MARKS]

Q. A frog is presently located at the origin

(0, 0)

in the

x y

-plane. It always jumps from a point with integer coordinates to a point with integer coordinates moving a distance of

5

units in each jump. What is the minimum number of jumps required for the frog to go from

(0, 0)

(0, 1)

Q. A frog is presently located at the origin (0, 0) in the x-y plane. It always jumps from a point integer coordinates to a point with integer coordinates moving a distance of

5

units in each jump. What is the minimum number of jumps required for the frog to go from

(0, 0)

(0, 1)

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