Answer :
Answer:[tex]-18.05 m/s^2[/tex]
Explanation:
Given
Initial velocity of rocket A ([tex]v_A[/tex]) 5300m/s
Initial velocity of rocket B([tex]v_B[/tex]) 8700 m/s
after time t they have displacement=0
[tex]s_A=5300\times t+\frac{1}{2}\times \left ( -11\right )t^2[/tex]
[tex]0=5300\times t+\frac{1}{2}\times \left ( -11\right )t^2[/tex]
[tex]t=\frac{5300\times 2}{11}=963.63 s[/tex]
for Rocket B
[tex]s_B=8700\times t+\frac{1}{2}\times \left ( a_B\right )t^2[/tex]
time is same for A & B
[tex]0=8700\times 963.63+\frac{1}{2}\times \left ( a_B\right )963.63^2[/tex]
[tex]a_B=\frac{2\times 8700}{963.63}=-18.05 m/s^2[/tex]