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

2418 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The tangent to a point P (p, pi/2) on the curve x=(4y-sin2y)^2 hits the y axis at point A, find the coordinates of this point.


Express 3cos(x)+4sin(x) in the form Rsin(x+y) where you should explicitly determine R and y.


Differentiate the function f(x) = 2x^3 + (cos(x))^2 + e^x


A curve has parametric equations: x = 3t +8, y = t^3 - 5t^2 + 7t. Find the co-ordinates of the stationary points.


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