University Physics I · Vector kinematics and relative motion
Two launch angles reach the same target
Problem
Use $g=10.0\,\mathrm{m\,s^{-2}}$ and neglect air resistance. From level ground, a launcher fires at fixed speed $20.0\,\mathrm{m\,s^{-1}}$ toward a target $20.0\,\mathrm m$ away at the same elevation. Find every launch angle in $(0,90^\circ)$ that hits the target, together with each flight time.
Hint
Set the range formula equal to $20.0\,\mathrm m$.
Check your work
Work the problem yourself first. Then open it in Training to check your answer and read the full worked solution.
Create a free account to check your answer and see the solution. Create a free account.
More University Physics I practice problems
- Average speed is not average velocity magnitudeVector kinematics and relative motion
- Kinetic friction under a horizontal pullNewton laws and force models
- Two angled support cablesNewton laws and force models
- Work of a quadratic position-dependent forceWork, energy, and conservative systems
- Turning points in an inverse-square-plus-quadratic potentialWork, energy, and conservative systems
- Impulse from a triangular force pulseMomentum, impulse, and collisions
- Explosion at the apex of a projectile pathMomentum, impulse, and collisions
- Uniform rod inertia from an integralRigid-body rotation and angular momentum
- Field of a thin spherical shellGravitation and orbital motion