1

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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