1
IIT-JEE 1979
Subjective
+4
-0
The dispalcement x of particle moving in one direction, under the action of a constant force is related to the time t by the equation $$t = \sqrt x + 3$$
where x is in meters and t in seconds. Find

(i) The displacement of the particle when its velocity is zero, and

(ii) The work done by the force in the first 6 seconds.

2
IIT-JEE 1979
Subjective
+4
-0
Answer the following giving reason in brief:

Is the time variation of position, shown in the figure observed in nature? 3
IIT-JEE 1978
Subjective
+4
-0
A car accelerates from rest at a constant rate $$\alpha$$ for some time after which it decelerates at a constant rate $$\beta$$ to come to rest. If the total time lapse is t seconds, evaluate.

(i) maximum velocity reached, and

(ii) the total distance travelled.

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