it hits the ground when the height is zero, right?
So just solve
6 + 95 sin25° t - 16t^2 = 0
A ball is thrown with a slingshot at a velocity of 95 ft./sec. at an angle of 25 degrees above the ground from the height of 6 ft. Approximately how long does it take for the ball to hit the ground? Acceleration due to gravity is 32 ft./s^2.
A. 2.65 seconds
B. 2.51 seconds
C. 5.45 seconds
D. 5.38 seconds
5 answers
Vo = 95ft/s[25o]
Yo = 95*sin25 = 40.1 Ft./s.
Y = Yo+gTr = 0
40.1+(-32)Tr = 0
Tr = 1.25 s. = Rise time.
Y^2 = Yo^2+2g*h = 0
40.1^2+(-64)h = 0
h = 25.1 Ft.
h max = 6+25.1 = 31.5
h max = 0.5g*Tf^2 = 31.5
16Tf^2 = 31.5
Tf = 1.40 s. = Fall time.
Tr+Tf = 1.25+1.40 = 2.65 s. To hit gnd.
Yo = 95*sin25 = 40.1 Ft./s.
Y = Yo+gTr = 0
40.1+(-32)Tr = 0
Tr = 1.25 s. = Rise time.
Y^2 = Yo^2+2g*h = 0
40.1^2+(-64)h = 0
h = 25.1 Ft.
h max = 6+25.1 = 31.5
h max = 0.5g*Tf^2 = 31.5
16Tf^2 = 31.5
Tf = 1.40 s. = Fall time.
Tr+Tf = 1.25+1.40 = 2.65 s. To hit gnd.
1. A, 2.B and E, 3. A, B, and D, 4. B, 5. D, 6. A, 10. C, 11. D, 12. A and E, 13. B and C, 14.C, 15. B, 16. C, 17. B, 18. B, 19. A, 20. A, and 21. A
half of Unknown Dude's answers are wrong, wouldn't recommend using them
Parametric Functions Test Part 1 Answers:
1.D 2. B and E 3. A B and D 4. B 5. B 6. A 7-9 Essays 10. C 11. B 12. a and E 13. B and C 14. A 15. C 16. A 17. B 18. A 19. B 20. A 21. A I just took the test these are 100% correct
1.D 2. B and E 3. A B and D 4. B 5. B 6. A 7-9 Essays 10. C 11. B 12. a and E 13. B and C 14. A 15. C 16. A 17. B 18. A 19. B 20. A 21. A I just took the test these are 100% correct