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3.3.5 Solve simple projectile problems (A-level only)

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Question 3

Two stones, S1 S_1\,S1​ and S2S_2S2​, are thrown simultaneously from points C C\,C and D D\,D which are 80 m apart on horizontal ground. Stone S1 S_1\,S1​ is thrown from C C\,C with speed 20 ms-1 at an angle of 60∘ 60^\circ\,60∘ to the horizontal. Stone S2 S_2\,S2​ is thrown from D D\,D with speed U ms−1U \text{ ms}^{-1}U ms−1 at an angle of θ \theta\,θ to the horizontal. The stones collide 2 seconds after being thrown. Gravity is the only force acting on the stones once they are in the air.

a.

Find the velocity of S1 S_1\,S1​ the instant before it collides with S2S_2S2​.

[6]
bi.

Find the size of angle θ\thetaθ.

[6]
bii.

Find the value of UUU.

[6]
c.

State one limitation of the model that could affect the accuracy of your answers.

[1]

3.3.5 Solve simple projectile problems (A-level only) Questions

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  3. /3.3.5 Solve simple projectile problems (A-level only)