Ignoring air resistance and assuming gravity to equal 9.81. If a ball of mass 1kg is dropped from a height of 100m, calculate it's final velocity before it hits the ground.

G = 9.81u = 0s = 100v2 = u2 + 2asv2 = 2 * 100 * 9.81v = root( 2 * 100 * 9.81) = 44.29ms-1
This question can be made into a 3 part question suitable for advanced A level students
B) Determine or show graphically the sum of the series T(n) = (1/2)n with N being from 1 to infinity(Ans, 1)
C) When the ball in part A hits the ground, it bounces and loses half its vertical kinetic energy. Calculate the total vertical distance travelled by the ball.
ANSFirst the ball travels 100m down, then 50m back up and 50m down, then 25m up and 25 down etc.By separating the distance between each bounce, the series goes;100, 100, 50, 25, 12.5...Ignoring the first two hundreds, the sequence is the same as 100T(n)100 + 100 + 100(T(n))Therefore the answer is 300m

Answered by Maths tutor

3158 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

C4 June 2014 Q4: Water is flowing into a vase. When the depth of water is h cm, the volume of water V cm^3 is given by V=4πh(h+4). Water flows into the vase at a constant rate of 80π cm^3/s. Find the rate of change of the depth of water in cm/s, when h=6.


How can we solve a two-equation, two-unknown values?


How to differentiate with respect to x, xsin2x.


Find the value of (cos(x) + sec(x))^2 with respect to x when evauated between pi/4 and 0


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences