How to Calculate Projectile Motion with Initial Horizontal Velocity

In summary, the conversation discusses a homework problem where a derelict car is pushed horizontally off a 45m high cliff top at a speed of 2.0 ms^-1. The problem asks for the time it takes to hit the ground and the distance from the base of the cliff where it lands. The solutions are 3.0 seconds and 6.0 meters, respectively. The correct equation to use is s = ut + .5at^2, but the incorrect equation was initially used due to confusion between horizontal speed and vertical acceleration.
  • #1
Kotune
21
0

Homework Statement


A night somebody pushes a derelict car horizontally off a 45m high cliff top at 2.0 ms^-1.
(a) How long does it take to hit the ground? (g=10ms^-2)
(b) How far from the base of the cliff does it land?


Homework Equations


The answer to (a) is 3.0s and (b) is 6.0m


The Attempt at a Solution


For (a) I tried s = ut +.5at^2. Hence 45 = 2t+.5(10)t^2 but the answer was not correct.
 
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  • #2
Kotune said:
For (a) I tried s = ut +.5at^2. Hence 45 = 2t+.5(10)t^2 but the answer was not correct.

That's because you mixed a horizontal speed with a vertical acceleration.
 
  • #3
Nugatory said:
That's because you mixed a horizontal speed with a vertical acceleration.

Ah ok I got it now, thanks :).
 

FAQ: How to Calculate Projectile Motion with Initial Horizontal Velocity

What is motion?

Motion is the change in position of an object over time. It can be described in terms of speed, direction, and acceleration.

How is motion measured?

Motion can be measured using various units such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph). It can also be measured using the displacement, velocity, and acceleration of an object over time.

What is the difference between speed and velocity?

Speed is the rate at which an object moves, while velocity is the rate of an object's displacement in a specific direction. In other words, velocity takes into account both the speed and direction of an object's motion.

What is projectile motion?

Projectile motion is the motion of an object that is launched or thrown and moves through the air under the force of gravity. It follows a curved path called a parabola.

How does air resistance affect projectiles?

Air resistance, or drag, can impact the trajectory of a projectile by slowing it down and altering its path. This is especially noticeable for objects with a larger surface area, such as a feather, compared to objects with a smaller surface area, like a bullet.

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