Projectile Fired Over a Hill: Find H, R, Angle & t_g

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The discussion focuses on calculating key parameters of projectile motion, including the highest point (H), range (R), optimal launch angle, initial speed, and flight time (t_g). To find H, it is expressed in terms of gravitational acceleration (g), initial velocity (v_0), and the launch angle. The range R is similarly calculated using these variables. Participants emphasize decomposing the initial velocity into its x and y components, noting that these components operate independently. Kinematic equations are recommended for solving these projectile motion problems effectively.
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A projectile is fired with speed v_0 at an angle
Find the highest point in the trajectory,H .
Express the highest point in terms of the magnitude of the acceleration due to gravity g, the initial velocity v_0, and the angle .
What is the range of the projectile,R ?
Express the range in terms of v_0,angle , and g.
Find the angle above the horizontal at which the projectile should be fired.
What is the initial speed?
Find t_g , the flight time of the projectile
 
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Use the kinematic equations to solve for all of the requested values.
 
Show some of ur own workings first. Like what Saketh have suggested. use the kinematics eqns to solve ur problem. These qns are quite straightforward.
 
markiii said:
A projectile is fired with speed v_0 at an angle
Find the highest point in the trajectory,H .
Express the highest point in terms of the magnitude of the acceleration due to gravity g, the initial velocity v_0, and the angle .
What is the range of the projectile,R ?
Express the range in terms of v_0,angle , and g.
Find the angle above the horizontal at which the projectile should be fired.
What is the initial speed?
Find t_g , the flight time of the projectile

Decompose the velocity as x and y components first.
the X and Y components are independent to each other
 

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