The maximum height at which the baseball will reach is given by the formula
<span>Vf^2 - Vo^2 = 2gh </span>
<span>where </span>
<span>Vf = final velocity = 0 (at its peak) </span>
<span>Vo = initial velocity = 22 m/sec (given) </span>
<span>g = acceleration due to gravity = 9.8 m/sec^2 (constant) </span>
<span>h = maximum height attained by the ball </span>
<span>Substituting appropriate values, </span>
<span>0 - (22)^2 = 9(-9.8)h </span>
<span>NOTE the negative sign attached to the acceleration due to gravity. This simply denotes that the ball is slowing down as it goes up. </span>
<span>Solving for "h", </span>
<span>h = 22^2/(2 * 9.8) </span>
<span>h = 24.69 meters </span>
<span>To solve for the time it reaches its maximum height, use the formula </span>
<span>h = VoT -(1/2)(gT^2) </span>
<span>where </span>
<span>T = time for ball to reach maximum height </span>
<span>and all the other terms have been previously defined. </span>
<span>Substituting values, </span>
<span>24.69 = 22T - (1/2)(9.8)T^2 </span>
<span>Rearranging the above, </span>
<span>4.9T^2 - 22T + 24.69 = 0 </span>
<span>Using the quadratic formula, </span>
<span>T = 2.22 seconds </span>
<span>NOTE --- the above is the time for the ball to reach its maximum height. The total time it is in the air is </span>
<span>Total time = 2(2.22) = 4.44 sec.
Hope this helps :) </span>
Answer:
27.6 m/s
5.64 s
Explanation:
Given:
Δy = 39 m
a = -9.8 m/s²
v = 0 m/s
Find: v₀
v² = v₀² + 2aΔy
(0 m/s)² = v₀² + 2 (-9.8 m/s²) (39 m)
v₀ = 27.6 m/s
Find: 2t
Δy = vt − ½ at²
(39 m) = (0 m/s) t − ½ (-9.8 m/s²) t²
t = 2.82 s
2t = 5.64 s
Answer:
θ_c = 36.87°
Explanation:
Index of refraction for index medium; n_i = 2
Index of refraction for Refractive medium; n_r = 1.2
Formula to find the critical angle is given;
n_i(sin θ_c) = n_r(sin 90)
Where θ_c is critical angle.
Thus;
2 × (sin θ_c) = 1.2 × 1
(sin θ_c) = 1.2/2
(sin θ_c) = 0.6
θ_c = sin^(-1) 0.6
θ_c = 36.87°
I thinks or know it is A or B cuz magnets and metal attract
Think of the small squares as one, and the long squares as ten. For the first grid instead of counting the small squares count the empty ones. there are 12 empty ones and we know that there are 100 in total, so you take the total (100) minus the empty (12). which equals 88/ 100. it's over 100 because that's the total. then the second grid 4 for out of the ten, so 4/10. to add these together you have to find the greatest common denominator. Which is 100. so 10 *what=100, to figure this out do 100 divided by 10, which is ten. then multiply 4/10 by 10. 50/100. so then you add 88/100+50/100. which is 138. remove any 100, because that's a whole and make them ones. so you take 138/100. subtract 100 from the top and make a one. so it ends up being 1 and 38/100. does that make sense?