02%20-%20Description%20of%20Motion%20in%20One%20Dimension

02%20-%20Description%20of%20Motion%20in%20One%20Dimension -...

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02 - DESCRIPTION OF MOTION IN ONE DIMENSION Page 1 ( Answers at the end of all questions ) 1 ) A car, starting from rest, accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate f / 2 to come to rest. If the total distance traversed is 15 S, then ( a ) 2 ft 6 1 S = ( b ) ( c ) ft S = 2 ft 4 1 S = ( d ) 2 ft 72 1 S = [ AIEEE 2005 ] 2 ) The relation between time t and distance x is t = a x 2 + b x where a and b are constants. The acceleration is ( a ) 2bv 3 ( b ) - 2abv 2 ( c ) 2av 2 ( d ) - 2av 3 [ AIEEE 2005 ] 3 ) A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2 m / s 2 . He reaches the ground at the rate of 3 m / s. At what height, did he bail out ? ( a ) 182 m ( b ) 91 m ( c ) 111 m ( d ) 293 m [ AIEEE 2005 ] ( NOTE: Actually, frictional force in the upward direction is not constant but increases in proportion to the downward velocity. Hence, the downward deceleration of the parachutist keeps decreasing and he finally reaches a constant terminal velocity. ) 4 ) A ball is released from the top of a tower of eight h metres. It takes T seconds to reach the ground. What s the position of the ball in T / 3 seconds ? ( a ) h / 9 m from the ground ( b ) 7h / 9 m from the ground ( c ) 8h / 9 m from the ground ( d ) 17h / 18 m from the ground [ AIEEE 2004 ] 5 ) An automobile traveling with a speed of 60 km / hr can brake to stop within a distance of 20 m. If the car is going twice as fast, i.e., 120 km / hr, the stopping distance will be ( a ) 20 m ( b ) 40 m ( c ) 60 m ( d ) 80 m [ AIEEE 2004 ] 6 ) A car moving with a speed of 50 km / hr can be stopped by brakes in 6 m. If the same car is moving with a speed of 100
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02%20-%20Description%20of%20Motion%20in%20One%20Dimension -...

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