Question

Arithmetic and Geometric Sequences

When an object is dropped from a tall building, it falls about 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second, regardless of its weight.

How many feet would an object fall in the tenth second? ​

Answer 1

the object will fall 5060 feet in 10 second.

Explanation:

g= 9.8m/s^2 and 9.8×3.33=32.67 feet/s^2.

initial velocity (u)= 16 feet/second

time taken(t)=10 second

final velocity(v)= ?

now,

V= u+ GT

=16+32.67×10

=342.67feet/second

again

distance covered= VT+1/2gt^2

=342.67×10+1/2×32.67×100

=3426.7+1633.33

=5060 feet