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A canister is dropped from a helicopter 500m above the ground...
A canister is dropped from a helicopter 500m above the ground. Its parachute does not open, but the canister has been designed to withstand an impact velocity of 100m/s. Will it burst or not?
I did the problem, but the back of the book does not agree with me. Where did I go wrong?
s(t)=500-4.9t^2 => s(t)=0 => t=10.1015 secs
I then differentiate to find velocity, which is v(t)=-9.8t, I plug in t from previous => v(10.1015)= -9.8(10.1015)= -99.127m/s. So I said it is able to withstand the impact, but the book says "No." Did I go wrong someplace? Thanks!
*EDIT*
Haha, this is embarrassing, I read the question wrong, I read "Will it burst or not?" as will it survive, so I guess that was the correct method.
A canister is dropped from a helicopter 500m above the ground. Its parachute does not open, but the canister has been designed to withstand an impact velocity of 100m/s. Will it burst or not?
I did the problem, but the back of the book does not agree with me. Where did I go wrong?
s(t)=500-4.9t^2 => s(t)=0 => t=10.1015 secs
I then differentiate to find velocity, which is v(t)=-9.8t, I plug in t from previous => v(10.1015)= -9.8(10.1015)= -99.127m/s. So I said it is able to withstand the impact, but the book says "No." Did I go wrong someplace? Thanks!
*EDIT*
Haha, this is embarrassing, I read the question wrong, I read "Will it burst or not?" as will it survive, so I guess that was the correct method.
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