A ball is thrown at speed u = 10.0 m/s at an angle of 30.0 degrees to the ground at height, s = 0. How far does the ball travel horizontally from its starting position? (Ignore air resistance and taking g = 9.81 m/s^2)

First, find the speed of the ball in the horizontal (x) and vertical (y) directions. ux = ucos(30) = 8.66m/s and uy = usin(30) = 5 m/s. Using an appropriate suvat equation find the time until the ball lands back on the ground: s = ut + 0.5at2, s = 0, u = uy, a = -9.81, t = ?. Substitute these values in and rearrange gives 0 = uyt - 0.5gt. Factorise out a t where the solution for this t would be t = 0 and so can be ignored give 0 = uy - 0.5gt. This can then be rearranged to give t = 2uy/g, with the values from the question this give a time in the air of t = 1.02s. Then substitute this value into s=uxt for the horizontal equation give s = 8.83m.

AT
Answered by Alex T. Physics tutor

2138 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

Use the kinetic theory of gases to explain why the pressure inside a container increases when the temperature of the air inside it rises. Assume that the volume of the container remains constant.


A ball is hit horizontally at a height of 1.2 m and travels a horizontal distance of 5.0 m before reaching the ground. The ball is at rest when hit. Calculate the initial horizontal velocity given to the ball when it was hit.


What is gravitational potential and how can gravitational potential energy be used to estimate the escape velocity of a planet of mass m and radius r?


A student studied how a few parameters of the electromagnetic radiation affects the I-V(current-voltage) curve of photoelectricity. By increasing one parameter he saw that the saturation current has risen. Which parameter it was?


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