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Week 11 Β· Throws and Arcs

Monday

Why a throw makes an arc
// Forward motion meets gravity
⏱ about 20 min

Monday: Why a Throw Makes an Arc

Rocket tosses a foam ball gently across the lawn. It rises, slows at the top, then drops onto the grass.

"I threw it straight," he says. "So why does it bend?"

Raven stretches the tape measure from his feet to the landing spot. "What do you notice about the top of the path?"

"It stopped going up for a second," Rocket says. "Then it fell. But it kept going forward the whole time."

Nova hovers and traces a glowing curve in the air that matches the ball's path exactly.

"Two things happened at once," she says. "One of them you have measured since week 4."

Rocket grins. "Gravity. It was pulling the whole time." Raven writes "arc" in the Field Log and underlines it.

Rocket on a sunny lawn gently tossing a foam ball in a high arc. Raven kneels at a tape measure stretched along the grass with a notebook. Three tape markers sit on the grass. Nova the drone hovers and traces a soft arc that matches the ball's path.

A ball in flight is a projectile

A physics text defines projectile motion as the motion of an object thrown or projected into the air, subject only to gravity.

The object is called a projectile. Its path is called its trajectory.

The most important fact about a projectile is that its forward motion and its up and down motion are independent.

Forward, nothing pushes the ball once it leaves your hand, so it keeps a steady pace. Scientists at NASA call this uniform motion.

Up and down, gravity pulls the whole time. The ball rises more slowly each moment, stops rising at the apex, then falls faster and faster.

DirectionForce acting (ignoring air)What the motion does
Forwardnonestays at a steady pace
Up and downgravity, pulling downrises, slows, stops at the apex, then falls
TWO MOTIONS AT ONCE
  • Read the question.
  • Tap your answer.
Once a foam ball leaves your hand, what force pushes it forward?
Which force pulls the ball down during the whole flight?
At the apex, the highest point, what is the ball's up and down motion doing?

Why the path curves

Put the two motions together and you get the arc. Steady forward motion plus a pull downward makes a curve.

NASA explains that in ballistic flight the horizontal motion is uniform, because there is no external force in that direction.

In the vertical direction, weight is the only external force acting on the object. Weight is the pull of gravity on the ball.

On Earth a dropped object speeds up by 9.8 metres per second every second. NASA uses this number for every falling ball.

StatementTrue or false?
A thrown ball's forward motion and up and down motion are independent.?
Gravity stops pulling on the ball at the apex.?
A projectile's path is called its trajectory.?
Something must keep pushing the ball forward or it would fall straight down.?
WHY THIS EXERCISESeparating the two motions is the one idea every throw this week depends on.
What is the name for the highest point of a trajectory? Type one word.
WHY THIS EXERCISEAt the apex the rise ends and the fall begins, but the forward pace never changes.
Try it
Outside, toss a foam ball gently and watch only its shadow on the ground. Does the shadow move at a steady pace?
Toss again and watch only the height. Notice the pause at the top. Write both in your Field Log.
For a grown-up
This week your student tosses a foam or tennis ball outdoors and measures where it lands.
Please pick a spot away from windows, roads, pets and younger children. Nothing is thrown at a person, and nothing is thrown indoors.
The flight facts come from NASA Glenn Research Center's Beginner's Guide to Aeronautics and a college physics text at libretexts.org.
Draw the arc of a toss. Mark the apex. Add a small down arrow for gravity at three points along the path.

Good eye. Tomorrow you learn what launch speed and launch angle do to a throw.