Acoin is tossed upward with an initial velocity of 32 feet per second from a height of 16 feet above the ground. the equation giving the object's height h at any time t is h = 16 + 32 t − 16 t 2 . does the object ever reach a height of 32 feet?

yes.

Explanation:

Suppose height of 32 ft  is reached after t seconds . Putting the values in the given equation gives real value of t that means it reaches the height of 32  feet

So 32 = 16 + 32t-16t²

16t²- 32t+16 = 0

t² - 2t + 1 = 0

t = 1 s

So real value of t is obtained . That means it reaches the height of 32 ft.

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases . this process does not change the mass number.

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as -decay. in this the mass number remains same.

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.