an object projected vertically up from the top of a tower then find the ratio of the distance travelled by it the last second and distance travel by 2 seconds of its motion
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4.9m
A body thrown upwards will decelerate downwards at 1g = 9.8m/s²
When it reaches the apex of the throw, it will be at rest. During the last second it decelerated at 1g for 1 second.
To calculate how far it travelled in the 1 second at 1g deceleration, we can calculate how far it would travel from rest in 1s at 9.8m/s² using the formula:
S = ut + ½at²
S=distance travelled, u=start speed (0), a = acceleration = 9.8, t = time = 1
Which gives a figure of:
0*1 + ½*9.8*1² = 4.9m
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