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question_answer1) A car starts from rest and travels with uniform acceleration\[\alpha \]for some time and then with uniform retardation\[\beta \]and comes to rest. If the total time of travel of the car is t, the maximum velocity attained by it is given by (a) \[\frac{\alpha \beta }{(\alpha +\beta )}t\] (b) \[\frac{1}{2}\frac{\alpha \beta }{(\alpha +\beta )}{{t}^{2}}\] (c) \[\frac{\alpha \beta }{(\alpha +\beta )}t\] (d) \[\frac{1}{2}\frac{\alpha \beta }{(\alpha -\beta )}{{t}^{2}}\]
question_answer2) Velocity time curve for a body projected vertically upwards is (a) Parabola (b) Ellipse (c) Hyperbola (d) Straight Line
question_answer3) A person travels along a straight road for the first half length with constant speed \[{{v}_{1}}\]and the second half length with a constant speed\[{{v}_{2}}\]. Average speed v is (a) \[\frac{{{v}_{1}}{{v}_{2}}}{2({{v}_{1}}+{{v}_{2}})}\] (b) \[\frac{2({{v}_{1}}+{{v}_{2}})}{{{v}_{1}}{{v}_{2}}}\] (c) \[\frac{2({{v}_{1}}+{{v}_{2}})}{{{v}_{1}}+{{v}_{2}}}\] (d) \[\frac{{{v}_{1}}+{{v}_{2}}}{{{v}_{1}}{{v}_{2}}}\]
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