Answer with Explanation:
We are given that
![y=(18-2x^2) km](https://tex.z-dn.net/?f=y%3D%2818-2x%5E2%29%20km)
![x=(4t-3)km](https://tex.z-dn.net/?f=x%3D%284t-3%29km)
Differentiate x and y w.r.t t
![\frac{dx}{dt}=4](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%3D4)
![\frac{dy}{dt}=-4x\frac{dx}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D-4x%5Cfrac%7Bdx%7D%7Bdt%7D)
![\frac{dy}{dt}=-4x\times 4=-16x=-16(4t-3)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D-4x%5Ctimes%204%3D-16x%3D-16%284t-3%29)
![v_x=\frac{dx}{dt}=4](https://tex.z-dn.net/?f=v_x%3D%5Cfrac%7Bdx%7D%7Bdt%7D%3D4)
![v_y=\frac{dy}{dt}=-16(4t-3)](https://tex.z-dn.net/?f=v_y%3D%5Cfrac%7Bdy%7D%7Bdt%7D%3D-16%284t-3%29)
Substitute t=1
![v_x=4](https://tex.z-dn.net/?f=v_x%3D4)
![v_y=-16(4-3)=-16](https://tex.z-dn.net/?f=v_y%3D-16%284-3%29%3D-16)
Magnitude of velocity=![\mid v\mid=\sqrt{v^2_x+v^2_y}](https://tex.z-dn.net/?f=%5Cmid%20v%5Cmid%3D%5Csqrt%7Bv%5E2_x%2Bv%5E2_y%7D)
![\mid v\mid=\sqrt{4^2+(-16)^2}=16.49 m/s](https://tex.z-dn.net/?f=%5Cmid%20v%5Cmid%3D%5Csqrt%7B4%5E2%2B%28-16%29%5E2%7D%3D16.49%20m%2Fs)
Hence, the magnitude of the missile's velocity=16.49 m/s
![a_x=\frac{d(\frac{dx}{dt})}{dt}=\frac{d(4)}{dt}=0](https://tex.z-dn.net/?f=a_x%3D%5Cfrac%7Bd%28%5Cfrac%7Bdx%7D%7Bdt%7D%29%7D%7Bdt%7D%3D%5Cfrac%7Bd%284%29%7D%7Bdt%7D%3D0)
![a_y=\frac{d(\frac{dy}{dt})}{dt}=\frac{d(-16(4t-3))}{dt}=-64](https://tex.z-dn.net/?f=a_y%3D%5Cfrac%7Bd%28%5Cfrac%7Bdy%7D%7Bdt%7D%29%7D%7Bdt%7D%3D%5Cfrac%7Bd%28-16%284t-3%29%29%7D%7Bdt%7D%3D-64)
Substitute t=1
![a_x=0,a_y=-64](https://tex.z-dn.net/?f=a_x%3D0%2Ca_y%3D-64)
![\mid a\mid=\sqrt{a^2_x+a^2_y}](https://tex.z-dn.net/?f=%5Cmid%20a%5Cmid%3D%5Csqrt%7Ba%5E2_x%2Ba%5E2_y%7D)
![\mid a\mid=\sqrt{0+(-64)^2}=64m/s^2](https://tex.z-dn.net/?f=%5Cmid%20a%5Cmid%3D%5Csqrt%7B0%2B%28-64%29%5E2%7D%3D64m%2Fs%5E2)
Hence, the magnitude of acceleration when t=1 s=![64m/s^2](https://tex.z-dn.net/?f=64m%2Fs%5E2)
Answer:
1595790 gallons
Explanation:
Given that;
3.8 L = 1 US gallon
303,200.0 liters = 303,200.0 * 1/ 3.8 = 79789.5 gallons
If a wave is made every 90 seconds which is 1.5 mins
Then;
Number of waves made in 30 minutes = 30/1.5 = 20 waves
if each uses 79789.5 gallons, then 20 waves will use 20 * 79789.5 gallons = 1595790 gallons
Explanation:
okk hope you like then comment
Answer:
KE = 100 J
Explanation: Should be correct
If you mean the tree, evergreen trees can exploded if theres extreme stress on the trunk