Physics

posted by .

This is a projectile motion problem where I need to find the velocity and angle I launch a ball at to hit a ship. The ball is on a cliff 400 m high, and the ship is 250 m away from the cliff. The ship is moving away at a velocity of 40 m/s. What velocity and angle should I launch the ball at so it hits the ship? And how do i solve this? Thank you.

  • Physics -

    The ship is moving at 40m/second? I don't believe it. That is over 80miles/hour.

    You have to aim at where the ship will be.

    let it be 250+x
    but x=40*timeinair

    now time in air is found from....

    1) hf=hi+ViSinTheta*time-1/2 g time^2
    Notice that is a quadratic.

    and the horizontal equation..
    250+x=Vicostheta*time
    2)250+40*time=ViCostheta*time

    So you have two equations, two unknowns. Which means you can choose an arbritary value for one. Theta is the most complicated, so choose a launch angle. Lets make Theta 32 deg.

    Find the cos32, sin32 and put those in the equation.
    Now in the second equation, solve for Vi in terms of time. Now put that value of Vi in the first equation, and solve for time. You have it all.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A ship maneuvers to within 2500m of an island's 1800m high mountain peak and fires a projectile at an enemy ship 610m on the other side of the peak. If the ship shoots the projectile with an initial velocity of 250m/s at an angle of …
  2. Physics

    The captain sinks a ship located x distance away with a cannon located on the top of a cliff that is 65m high. if the cannon ball has a velocity of 55m/s and the captain sinks the ship, how far was the ship from the base of the cliff. …
  3. Physics

    A batted baseball is hit with a velocity of 47.3 m/s, starting from an initial height of 8 m. Find how high the ball travels in two cases: (a) a ball hit directly upward and (b) a ball hit at an angle of 70° with respect to the horizontal. …
  4. Physics

    A ship maneuvers to within 2500 m of an island's 1800 m high mountain peak and fires a projectile at an enemy ship 610 m on the other side of the peak, as illustrated in Figure 3-29. If the ship shoots the projectile with an initial …
  5. Physics

    A ship maneuvers to within 2500 m of an island's 1800 m high mountain peak and fires a projectile at an enemy ship 610 m on the other side of the peak, as illustrated in Figure 3-29. If the ship shoots the projectile with an initial …
  6. Physics

    A ship maneuvers to within 2500 m of an island's 1800 m high mountain peak and fires a projectile at an enemy ship 610 m on the other side of the peak, as illustrated in Figure 3-29. If the ship shoots the projectile with an initial …
  7. physics

    A ship maneuvers to within 2.47×103 m of an island’s 1.76 × 103 m high mountain peak and fires a projectile at an enemy ship 6.13 × 102 m on the other side of the peak, as illustrated. The ship shoots the projectile with an initial …
  8. Science

    A battleship fires a cannon to hit a pirate ship with velocity 200 m/s and angle with horizontal direction 37o. • Find: • A) the position of the bullet after 2 secs, velocity and acceleration. • B) the highest altitude it will …
  9. physics math science

    A battleship fires a cannon to hit a pirate ship with velocity 200 m/s and angle with horizontal direction 37o. • Find: • A) the position of the bullet after 2 secs, velocity and acceleration. • B) the highest altitude it will …
  10. Calc

    A ball is launched straight up from the edge of a cliff that is 250 m high. The ball's motion is given by s = 35t - 4.9t^2 where s is the ball's height in meters above the cliff top at time t seconds. With what velocity does the ball …

More Similar Questions