A soccer ball with an initial height of $1.5 \, \text{m}$ above the ground is launched at an angle of $30^\circ$ above the horizontal. The soccer ball travels a horizontal distance of $45 \, \text{m}$ to a $9.0 \, \text{m}$ high castle wall, and passes over $3.20 \, \text{m}$ above the highest point of the wall. Assume air resistance is negligible.

Log In to Continue
Accounts are free! Log in to try this question, see explanations, save progress, and more!
Log In Browse All Questions

Question

A soccer ball with an initial height of $1.5 \, \text{m}$ above the ground is launched at an angle of $30^\circ$ above the horizontal. The soccer ball travels a horizontal distance of $45 \, \text{m}$ to a $9.0 \, \text{m}$ high castle wall, and passes over $3.20 \, \text{m}$ above the highest point of the wall. Assume air resistance is negligible.

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Log In Browse All Questions

Calculate the time taken for the ball to reach the wall.

, (b)

Calculate the initial speed of the soccer ball.

, (c) Find the velocity of the soccer ball as it passes over the wall.
, (d) If the same soccer ball is fired with the same initial speed at an angle of $55.5^\circ$ above the horizontal, determine whether or not the ball will still clear the $9.0 \, \text{m}$ high castle wall.
:

Jason · Accepted Answer

$1.77\,\text{s}$
$29.4\,\text{m/s}$
$25.6\,\text{m/s at }5.9^{\circ}\text{ below horizontal}$
$31.3\,\text{m}>9.0\,\text{m (clears)}$

AP Physics 1 With Jason

AP Physics 1

Log In to Continue

Similar Questions

Tools for a 5