Hots Questions

## Motion In A Straight Line

- Want to initiate thinking skills? practice HOTS
1
Problem based on the calculation of shortest distance. We have to find the shortest distance a spider should crawl from one corner to the opposite corner of a cubical room of dimensions.
The shortest distance a spider should crawl from one corner to the opposite corner of a cubical room of dimensions is

A
B
C
D
2
Numerical problem on distance and displacement. In this question there is a positive displacement in 1 second and negative displacement in the next second. We have to calculate the time taken to reach a particular distance.
A monkey standing on the ground wants to climb to the top of a vertical pole m tall. He climbs m in s and then slips downwards m in the next second. He again climbs m in s and slips by m in the next second as so on. How much time will the monkey take to reach the top of the pole?
A
B
C
D
3
Problem on average speed. We will calculate the stoppage time taken when there is a motion on regular speed as compare to an average speed.
Without any stoppage a person travels a certain distance at an average speed of 42 km/hr, and with stoppages he covers the same distance at an average speed of 28 km/hr. How many minutes per hour does he stop ?
A
minutes
B
minutes
C
minutes
D
minutes
4
Problem based on motion of train. Two identical trains pass one another when going in the opposite direction, we have to find the time one would take to pass the other when going in the same direction.
Two identical trains take to pass one another when going in the opposite direction but only if the speed of one is increased by . The time one would take to pass the other when going in the same direction at their original speed is
A
B
C
D
5
Find distance and displacement, when position of particle is given as a function of time.
The position of a particle along x-axis at time t is given by . The displacement and the distance travelled in the interval to are respectively:
A
B
C
D
None of these
6
We have given a track having many turns. We have to calculate the displacement from the starting point when the third turn is taken.
On open ground, a motorist follows a track that turns to his left by an angle of after every . Starting from a given turn, the displacement of the motorist at the third turn is:
A
B
500 m
C
D
1000 m
7
Problem based on the calculation of shortest distance of approach and its time when two particles going to meet at some point.
Two particles and are moving with uniform velocity as shown in Fig. given at .
a. Will the two particles collide?
b. Find out the shortest distance between two particles.
8
Problem on average speed.
A person walks along a straight road from his house to a market away with a speed of and instantly turns back and reaches the house with a speed of . The average speed of the person during the time interval to is (in ):
A
B
C
D
9
Find initial speed, acceleration and distance covered in an interval of time.
A particle covers in first and in next . Assuming constant acceleration. Find initial speed, acceleration and distance covered in next .
10
Problem based on the calculation of distance of closest approach and time taken to reach it.
Two ships A and B are 10 km apart on a line running south to north. Ship A farther north is streaming west at 20 km/h and ship B is streaming north at 20 km/h. What is their distance of closest approach and how long do they to reach it?