Projectile Motion Questions
1. Basic Concept
A projectile is launched with an initial velocity of 20 m/s at an angle of 30° with the horizontal. Calculate the time of flight.
2. Maximum Height
Determine the maximum height reached by the projectile in Question 1.
3. Horizontal Range
Calculate the horizontal range of the projectile in Question 1.
4. Maximum Horizontal Range
A projectile is launched with an initial velocity of 25 m/s. What is the angle of projection for maximum horizontal range, and what is that range?
5. Time to Reach Maximum Height
Find the time taken by the projectile in Question 1 to reach its maximum height.
6. Total Time of Flight
If a projectile is launched with an initial velocity of 15 m/s at an angle of 45°, what is its total time of flight?
7. Velocity at the Highest Point
Calculate the horizontal and vertical components of velocity at the highest point of the trajectory for the projectile in Question 1.
8. Range with Different Angles
A projectile is launched with an initial velocity of 20 m/s at an angle of 60°. Calculate its horizontal range and compare it with the range for a 30° launch angle with the same initial velocity.
9. Projectile Motion on an Inclined Plane
A projectile is launched at an angle of 37° with the horizontal from the base of an inclined plane that makes an angle of 30° with the horizontal. Calculate the range along the inclined plane.
10. Trajectory Equation
Derive the equation of trajectory for a projectile launched with an initial velocity \( v_0 \) at an angle \( \theta \) with the horizontal.
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