Can someone help explain how to do this question. I am having great difficulty working it out. :P

If the steel cables on an aircraft carrier stops a plane in 150m with an acceleration of -15m/s^2, find the time the plane takes to stop

Question

Can someone help explain how to do this question. I am having great difficulty working it out. :P

If the steel cables on an aircraft carrier stops  a plane in 150m with an acceleration of -15m/s^2, find the time the plane takes to stop

loser66 · Answer

you have formula $$ V^2 = V_0^2 + 2as$$ at stop, V =0 a = -15m/s^2 therefore $V_0 = 2as = \sqrt{15*150} = 47.43m/s$
apply $$x = x_0 +v_0t +\frac{1}{2}at^2$$ where $x_0 =0$ you have time t as $$\frac{15}{2}t^2-47.43t+150=0$$ solve for t =6.33s

anonymous · Answer

Oh thank you so much.