Question

3. (26 Marks) The figure to the right shows a small cannon that can fire balls (B) with an initial speed $v_{OB}$ at a fixed angle $\theta = 53.0^\circ$ above the positive x-axis, at the top right edge of a building. It takes B 4.00 s to reach the ground.\\ a) Find $v_{oy,B}$, then deduce the values of $v_{OB}$ and $v_{ox,B}$.\\b) Find $h_{max}$, the maximum height above the ground that B can reach.\\c) Show that B hits the ground at a horizontal distance d = 21.4 m.\\d) What should be the new value of $v_{OB}$ so that the horizontal range of B is R = 2.30 d?\\At the instant B was launched, a car C on the ground directly below B starts to accelerate to the right with a constant acceleration $a_c = 4.22 m/s^2$.\\e) Find the magnitude and direction of $\vec{a}_{BC}$, the acceleration of B with respect to C.\\f) What should be the new value of $v_{OB}$ so that B will hit C on the ground?

          3. (26 Marks) The figure to the right shows a small cannon that can fire balls (B) with an initial speed $v_{OB}$ at a fixed angle $\theta = 53.0^\circ$ above the positive x-axis, at the top right edge of a building. It takes B 4.00 s to reach the ground.\\
a) Find $v_{oy,B}$, then deduce the values of $v_{OB}$ and $v_{ox,B}$.\\b) Find $h_{max}$, the maximum height above the ground that B can reach.\\c) Show that B hits the ground at a horizontal distance d = 21.4 m.\\d) What should be the new value of $v_{OB}$ so that the horizontal range of B is R = 2.30 d?\\At the instant B was launched, a car C on the ground directly below B starts to accelerate to the right with a constant acceleration $a_c = 4.22 m/s^2$.\\e) Find the magnitude and direction of $\vec{a}_{BC}$, the acceleration of B with respect to C.\\f) What should be the new value of $v_{OB}$ so that B will hit C on the ground?

3. (26 Marks) The figure to the right shows a small cannon that can fire balls (B) with an initial speed vOB at a fixed angle θ = 53.0^∘ above the positive x-axis, at the top right edge of a building. It takes B 4.00 s to reach the ground.

a) Find voy,B, then deduce the values of vOB and vox,B.
b) Find hmax, the maximum height above the ground that B can reach.
c) Show that B hits the ground at a horizontal distance d = 21.4 m.
d) What should be the new value of vOB so that the horizontal range of B is R = 2.30 d?
At the instant B was launched, a car C on the ground directly below B starts to accelerate to the right with a constant acceleration ac = 4.22 m/s^2.
e) Find the magnitude and direction of a⃗BC, the acceleration of B with respect to C.
f) What should be the new value of vOB so that B will hit C on the ground?

Added by Esther M.

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