Type 1 Projectile with an initial vertical velocity

In summary, using the equation d=Vot + 1/2at2, the time it takes for the peach pit to land when thrown horizontally with a 7.0 m/s velocity out of an elevator cage, with the ground 17 m below and the elevator moving upward at a constant 8.5 m/s velocity, can be calculated by setting up the equation 0=17+8.5t-4.9t^2 and using the quadratic equation to solve for t. The solution is 2.92 seconds.
  • #1
reganw
19
0
A rude tourist throws a peach pit horizontally with a 7.0 m/s velocity out of an elevator cage. The ground is 17 m below. How long will it take for the pit to land if the elevator is moving upward at a constant 8.5 m/s velocity?



d=Vot + 1/2at2



My attempt that continuously doesn't work is:
-17=(8.5)(t)+1/2(-9.8)(t2)
-17=8.5t - 4.9t2


The answer is 2.92s.. I'm just not quite sure how to get there. Please show all the steps in your solution.. I'm drawing a blank on how to solve for t!


Thank you!
 
Last edited:
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  • #2
0=17+8.5t-4.9t^2

Then use the quadratic equation to solve it
 
  • #3
leachlife4 said:
0=17+8.5t-4.9t^2

Then use the quadratic equation to solve it

oh right! i forgot about the quadratic equation.. got it now! thanks!
 

Related to Type 1 Projectile with an initial vertical velocity

1. What is a Type 1 Projectile?

A Type 1 Projectile is an object that is launched or thrown into the air with an initial vertical velocity. It follows a parabolic trajectory due to the force of gravity acting on it.

2. What is the initial vertical velocity of a Type 1 Projectile?

The initial vertical velocity of a Type 1 Projectile refers to the speed at which the object is launched or thrown into the air. It is the vertical component of the projectile's overall velocity.

3. How does the initial vertical velocity affect the projectile's trajectory?

The initial vertical velocity of a projectile determines the height it will reach and the amount of time it will spend in the air. The higher the initial vertical velocity, the higher the projectile will go and the longer it will stay in the air. This is because the initial vertical velocity is a component of the overall velocity, which determines the distance and time the projectile will travel.

4. Can the initial vertical velocity be changed during the projectile's flight?

No, the initial vertical velocity cannot be changed once the projectile is in motion. This is because the projectile's velocity is determined by its initial conditions, such as the initial vertical velocity and angle of launch. However, external forces such as air resistance can affect the projectile's trajectory and change its overall velocity.

5. How is the initial vertical velocity calculated for a Type 1 Projectile?

The initial vertical velocity of a Type 1 Projectile can be calculated using the equation v0 = v*sin(theta), where v is the initial velocity and theta is the angle of launch. This equation takes into account the vertical component of the initial velocity and the angle at which the projectile is launched.

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