....Touching New Heights.... (the correct one!!!)
It was too late when Spiderman realised He has Lost his powers Of Making Nets.... He jumped from the top of a tower. The Height through which he falls in the first three seconds of his motion equals the height through which he falls in the last second of his motion. Let T be the Time taken for his total motion & H be the Height of tower. How much Is the value: (T + H) ?
Take time T in seconds and height H in meters & |g| = 10.0 .
The answer is 130.
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1 solution
T is the total time taken by him to reach the ground. Now, the height through he falls in first three seconds is ,say, h 1 .
h 1 = 2 1 g t 2 = 2 1 * 10 * 3 2 = 45 meters. The velocity of the stone 1 second before reaching the ground , i.e. at time ( T - 1 ) is v
v = g( T - 1 ) = 10( T - 1 ). This is the initial velocity for the last 1 second of the motion. During this 1 second, the stone will fall through a distance h 2 given,
h 2 = ut + 2 1 g t 2 = 10( T - 1 ) + 2 1 * 10 * 1 2 = 10( T - 1 ) + 5 = 10T - 5
Given h 1 = h 2
45 = 10T - 5
T = 5 s e c o n d s
Since T = 5s.
H = 2 1 g t 2 = 2 1 * 10 * 5 2
Thus H = 1 2 5 m e t e r s
H + T = 125 + 5 = 1 3 0