Calculate the following three problems height, seconds, distance. The referee of

Question

Calculate the following three problems height, seconds, distance.

The referee of a football game tosses a coin up with an initial speed of 4.97 m/s.  Ignoring the air resistance, determine the height the coin goes above its point of release?

a. 1.06 m

b. 1.26 m

c. 1.40 m

d. 9.80 m

A bullet has an upward initial velocity of 135 m/s.  Assuming g = 9.8 m/s2, how long will it take for the velocity to reach 96 m/s?

a. 3.0 s

b. 6.0 s

c. 5.0 s

d. 4.0 s

A person saw a lightening and heard the thunder 1.3 s later. How far away was the thunder from the person? (The speed of sound is 1,100 ft/s.)

a. 1,100 ft/s

b. 1,500 ft/s

c. 1,400 ft/s

d. 1,300 ft/s

Explanation / Answer

According to the given problem,

1.) Using kinamatics,

v2 - u2 = 2aS

02 - 4.972 = 2 *-9.81*S

S = 1.2589m

S = 1.26 m[B].

2.) Using kinamattic equation,

v = u + at

v = u - gt

96 = 135 - [9.8*t]

t = 3.979 s

t = 4 s[D].

3.) Using kinamtics eqaution below, [note: answers units are wrong.]

S = vt

S = 1100*1.3

S = 1430 ft. [C].

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