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A lizard, at an initial distance of 21 cm behind an insect, moves from rest with an
acceleration of 2cm/s2 and pursues the insect which is crawling uniformly along a
straight line at a speed of 20 cm/s. Then the lizard will catch the insect after
- 21 s
- 24 s
- 20 s
- 1 s
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Solution
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Let t be the time in which the lizard will catch the insect.
Distance traveled by lizard = 21 + distance traveled by insect.
ut+12at2=21+vt
0+122t2=21+20t
t2−20t−21=0
solving this t=21,−1
t cannot be -ve.
t=21sec.
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Q3
A lizard moves from one hole to another. As it moves, it eats insects hidden in the hole. The number of insects in each hole is shown.
The lizard can move only along the lines.
Starting from the blue hole in the picture, the lizard goes to three holes to eat 18 insects.
This is the path the lizard takes —
= 18
• What path can the lizard take to eat 12 insects?
= 12
• What path can the lizard take to eat 20 insects?
= 20
This time the lizard goes to four holes to eat insects.
• What path does the lizard take to eat 18 insects?
= 18
• What path does the lizard take for 12 insects?
= 12
The lizard can move only along the lines.
Starting from the blue hole in the picture, the lizard goes to three holes to eat 18 insects.
This is the path the lizard takes —
= 18• What path can the lizard take to eat 12 insects?
= 12• What path can the lizard take to eat 20 insects?
= 20This time the lizard goes to four holes to eat insects.
• What path does the lizard take to eat 18 insects?
= 18• What path does the lizard take for 12 insects?
= 12