1

IIT-JEE 1979

Subjective
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.

Answer

(i) 0
(ii) 0
2

IIT-JEE 1978

Subjective
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.

Answer

$$(i)\,{{\alpha \beta } \over {\alpha + \beta }}t$$

$$(ii)\,{1 \over 2}{{\alpha \beta } \over {\alpha + \beta }}{t^2}$$

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