Question

When an object is dropped, the distance it falls in t seconds, assuming that air resist. is negligible is given by s(t)=17t^2
where s(t) is in feet. Suppose a medic's reflex hammer is dropped from a helicopter. Find (a) how far the hammer falls in 4 sec, (b) how fast the hammer is traveling 4 sec after being dropped and (c) the hammer's acceleration after it has been falling for 4 sec

Answer 1

Deriv og s(t)=17t^2 is 34t

Answer 2

of*

Answer 3

@Mertsj

Answer 4

is it
a: 272
b: 272
c: 136

Answer 5

@campbell_st

Answer 6

Or am I mixing up the equations for which is which and the answers are 136 136 and 272?

Answer 7

ok... for (a) substitute t = 4 and evaluate

(b) you need the rate of change in s with respect to t

so find the 1st derivative

then substitute t = 4

(c) acceleration is rate of change in velocity with respect to time. So find the 2nd derivative.

Answer 8

34

Answer 9

is the second deriv

Answer 10

thats part (c) but make sure you include units...

all you need is (a) and (b)

Answer 11

so (a)=272
(b)=136
(c)=34

Answer 12

seems to make sense.. but make sure you have the units