Mathematics, 16.10.2020 06:01 sryun
A projectile is fired with muzzle speed 140 m/s and an angle of elevation 45Β° from a position 10 m above ground level. Where does the projectile hit the ground and with what speed?
SOLUTION
If we place the origin at ground level, then the initial position of the projectile is (0, 10) and so we need to adjust the parametric equations of the trajectory by adding 10 to the expression for y. With v0 = 140 m/s, Ξ± = 45Β°, and g = 9.8 m/s2, we have x = 140 cos(Ο/4)t = Correct: Your answer is correct. y = 10 + 140 sin(Ο/4)t β 1 2 (9.8)t2 = Correct: Your answer is correct. . Impact occurs when y = 0, that is 4.9t2 β 70 2 t β 10 = 0. Solving this quadratic equation (and using only the positive value of t), we get the following. (Round your answer to two decimal places.) t = 70 2 + 9,800 + 196 9.8 β 20.30 Correct: Your answer is correct. . Then x β 70 2 (20.30) β 2010 Correct: Your answer is correct. (rounded to the nearest whole number), so the projectile hits the ground about 2010 Correct: Your answer is correct. m away. The velocity of the projectile is v(t) = r'(t) = . So its speed at impact (rounded to the nearest whole number) is |v(20.30)| = (70 2 )2 + (70 2 β 9.8 Β· 20.3
Answers: 2
Mathematics, 21.06.2019 16:30
Solve by any method (graphing, substitution or linear combination)y = x - 82x + 3y = 1a) (2, -6)b) (5, -3)c) (4, -4)d) (0, -8)i figured it out. the answer is (5, -3)
Answers: 1
Mathematics, 21.06.2019 18:10
Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial
Answers: 1
Mathematics, 21.06.2019 19:00
1) what is the measure of the exterior angle, β uvw ? 2) in triangle man, what is the measure of the exterior angle at n (in degrees)?
Answers: 1
Mathematics, 21.06.2019 21:30
Ihave a triangle with a 60 degree angle. lets use d for that angle. what are the values of e and f if d is 60 degrees? and what do you notice about the values of e and f?
Answers: 2
A projectile is fired with muzzle speed 140 m/s and an angle of elevation 45Β° from a position 10 m a...
History, 29.08.2019 04:30
Biology, 29.08.2019 04:30
Mathematics, 29.08.2019 04:30
English, 29.08.2019 04:30
Social Studies, 29.08.2019 04:30
Chemistry, 29.08.2019 04:30
Biology, 29.08.2019 04:30
Physics, 29.08.2019 04:30
Mathematics, 29.08.2019 04:30
History, 29.08.2019 04:30
History, 29.08.2019 04:30
Mathematics, 29.08.2019 04:30
History, 29.08.2019 04:30