A ball is thrown out of a window 18m off the ground. It is thrown horizontally at 0.5m/s. Show that it takes about 2s to reach the ground

Using the initial information we can see that the acceleration in the 'y' direction is equal to 'g', so from this we can work out the velocity in the 'y' direction 'V(y)' by simply integrating the acceleration with respect to time; so V(y) = 9.8t +c and as the ball is initially at rest c=0. By intergrating the velocity in the y direction V(y) we can then obtain the displacement in the y direction 'S(y)'. So S(y)=0.5gt2+k. Now as we are taking the window as the origin k=0. So S(y)=0.5gt2. When the ball hits the ground the displacement it 18m or S(y)=18. Using our formula for S(y), we can solve for t. t comes out to be 1.92 to 2 d.p, which is roughly 2.

Answered by Adam J. Physics tutor

3493 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

A 100g mass is on a circular turntable spinning at 78 revolutions per minute. The maximum frictional force between the mass and turntable is 0.50N. Find the maximum distance from the center of the turntable at which the mass would stay on the turntable.


Derive an expression for the centripetal acceleration of a body in uniform circular motion.


Explain the change of quark character associated with the beta-plus decay and deduce the equation.


How am I going to remember all of the particles I need to know? (A-level Physics)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences