A cannon at ground level is firing at a fort 200m away with 20m high walls. It aims at an angle 30 degrees above the horizontal and fires cannonballs at 50m/s. Assuming no air resistance, will the cannonballs fall short, hit the walls or enter the fort?

solving horizontally, use v=s/t, where s=200, v=25(3)1/2. Hence t=s/v=8/(3)1/2 (where t is the time when the ball would reach the fort if it does not reach the ground)Solivng vertically, s=?, u=25, v is irrelevant, a=-9.8, t=8/(3)1/2, as we worked out from resolving horizontally. (s is the height of the cannonball when it reaches the fort)Use s=ut+(at2)/2. s=25(8/(3)1/2) + (-9.8)*(8/(3)1/2)2/2s=11m (2sf). 0<11<20. Hence, when the cannonball reaches the fort it is above ground but below the top of the wall, so it hits the wall.

Related Maths A Level answers

All answers ▸

Given that y = 16x + x^(-1), find the two values of x for which dy/dx = 0


A small stone is projected verically upwards from a point O with a speed of 19.6ms^-1. Modeeling the stone as a particle moving freely under gravity find the time for which the stone is more than 14.6m above O


How do you differentiate the curve y = 4x^2 + 7x + 1? And how do you find the gradient of this curve?


integration by parts: x^-2lnx


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