A cannon is fired at 30 degrees from the ground and the cannonball has initial velocity of 15 m/s. What is the height of the highest point the cannonball reaches and how far is this point horizontally from the cannon?

With this type of question always draw a diagram with the values on it. We can assume the positive direction is upwards. Start with considering the vertical motion and use SUVAT. s= ? (this is what we are looking for- the height above the ground of the cannonball). u= 15sin30 = 7.5 m/s (this is the vertical component of the initial velocity of 15 m/s). v= 0 (the vertical component of velocity at the highest point is always zero). a= -g = -9.81 m/s2 (this is acceleration due to gravity- it is negative because it is acting downwards). t is unknown so we use the corresponding suvat equation (without t in it) v2 = u2 + 2as . Rearrange for s and plug in values to find that s= 2.87 m (height at the highest point). Consider the horizontal motion ( where horizontal velocity is constant for projectile motion). distance = speed x time = 15cos30 x t. Find time using v=u+at from vertical values, as vertical and horizontal time are the same. t= 0.76 s . So the horizontal distance of the heighest point is x= 15cos30 x 0.76 = 9.87 m (horizontal distance from highest point).

EV
Answered by Elena V. Physics tutor

7246 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

what would be the mass required to keep an object with a mass of 250kg orbiting at a constant distance of 100km with a linear velocity of 100m/s?


How does a capacitor work and how do I treat it in a circuit?


Bernard says that a mass executing uniform circular motion is not accelerating as it's speed is not changing. Which parts of his statement are correct and which are false. For those which are false state why they are and give the correct version.


A 1.6m long string fixed at both ends vibrates at its fundamental frequency... (i)what is this frequency?


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