Vectors and Motion in Two Dimensions

AP Physics 1· difficulty 4/5

θ R

A projectile is launched at speed v0=30 m/sv_0 = 30\text{ m/s} at θ=35°\theta = 35° above level ground. Using g=9.8 m/s2g = 9.8\text{ m/s}^2, what is the horizontal range to the nearest meter?

  • A

    86 m

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  • B

    70 m

  • C

    92 m

  • D

    78 m

Explanation

Range formula on level ground: R=v02sin(2θ)/gR = v_0^2 \sin(2\theta)/g. Plug in sin70°0.9397\sin 70° \approx 0.9397. Then R=(900)(0.9397)/9.886.3 mR = (900)(0.9397)/9.8 \approx 86.3\text{ m}.

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