How do you find the distance a ball travels if fired at speed u and angle theta from the ground?

From a right angled triangle with hypotenuse u and angle theta, we see the horizontal speed is (u cos theta) and the initial vertical speed is (u sin theta). As the ball moves in a symmetric parabola, it hits the ground with vertical speed (-u sin theta).Therefore, the ball must be in the air for (2 u sin theta / g) seconds, so it travels a distance of (2 u^2 sin theta cos theta / g). This can be simplified to (u^2 sin (2 theta) / g).

Answered by Douglas B. Maths tutor

2420 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find R and a such that 7*cos(x)+3*sin(x)=Rcos(x-a)


Given two coordinate points (a1,b1) and (a2,b2), how do I find the equation of the straight line between them?


The curve with the equation: y=x^2 - 32sqrt(x) + 20 has a stationary point P. Find the coordinates of P.


show that tan(x)/sec2(x) = (1/2)sin(2x)


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences