A bungee jumper jumps from a tower 128 m high. How long does he take to reach 1 m from the ground.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The bungee jumper jumps from the top of a tower 128 m high and falls 127 m till he is 1 m from the ground.

To calculate the time taken use the formula `s = u*t + (1/2)*a*t^2 ` where s is the distance traveled, u is the initial speed, t is the time taken and a is the acceleration. Here, the initial velocity of the bungee jumper is 0, the total distance traveled is 127 m and the acceleration due to gravity is 9.8 m/s^2

127 = 0 + (1/2)*9.8*t^2

=> `t^2 = (127*2)/9.8`

=> t = `sqrt (254/9.8)`

=> 5.09

The bungee jumper takes 5.09 s to reach 1 m from the ground.

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