Vertically we can say
<span>Vertical acceleration = - g </span>
<span>Vertical velocity = u sinѲ - gt [Ѳ = 42; u = 12 m/s] </span>
<span>Vertical displacement = u sinѲt - (1/2) g t^2 + 9.5 </span>
<span>When the rock hits the ground, its vertical displacement will be zero. So we can say.. </span>
<span>u sinѲt - (1/2) g t^2 + 9.5 = 0 </span>
<span>I'll rearrange this .... </span>
<span>- (1/2) g t^2 + u sinѲt + 9.5 = 0 </span>
<span>Can you see that we now have a quadratic in t? </span>
<span>Using the well known formula </span>
<span>t = [ - u sinѲ ± √( u^2 sin^2Ѳ - 4(( - (1/2)g * 9.5))] / (- g) </span>
<span>t = [- u sinѲ ± √( u^2 sin^2Ѳ + 19g)] / (-g) </span>
<span>t = [- 8.03 ± √(250.86)] / (-9.81) </span>
<span>t = [- 8.03 ± 15.84] / (-9.81) </span>
<span>t = (- 8.03 + 15.84) / (-9.81) or t = (-8.03 - 15.84) / (-9.81) </span>
<span>t = - 0.8 or t = 2.43 </span>
<span>Well, a negative time has no meaning so </span>
<span>t = 2.43 seconds. </span>
Answer:
Explanation: By using Gas Law, the new pressure can be calculated as follows:
Gas law states:
Using (1), and Identifying the knowns and unknowns, and plugging in (1) we get the following results:
Finally, the New pressure is calculated as follows:
Answer:
Charles Babbage
Explanation:
Analytical Engine, generally considered the first computer, designed and partly built by the English inventor Charles Babbage in the 19th century (he worked on it until his death in 1871).