A ball, dropped vertically, falls d metres in t seconds. d is directly proportional to the square of t. The ball drops 45 metres in the first 3 seconds. How many metres does the ball drop in the next 7 seconds?

d = kt2. 45 = k x 32. 45 = k x 9 (/9). 5 = k.3+7 = 10 seconds total as we are investigating the NEXT 7 seconds. d = kt2. d = 5 x 102. d = 5 x 100d = 500m in 10 seconds. As the ball drops 45m in the first 3 seconds, and then 500m in 10 seconds, the ball drops 500-45 = 445m in the last 7 seconds.

Answered by Emily N. Maths tutor

3580 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Work out 70% of 140 (Non-calculator)


Write 2x2+ 12x + 3 in the form p(x + q)2+ r


Solve the simultaneous equations 3x + y = 4 x + y = 2


The length of a rectangle is five times the width. The area of the rectangle is 180cm^2. Work out the width of the rectangle.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences