-1

A ball is thrown vertically upward with an initial speed of 9.80 meters per second. What is the maximum height the ball will reach?

I need to find the distance (d). But I need the time. How do I calculate the time it will be in the air with a kinematics equation?

Andrews
  • 3,953
Dylan
  • 73
  • Use conservation of energy to compute this distance directly, without first finding the flight time. – amd Oct 11 '19 at 01:50

1 Answers1

1

Use the equations below

$$0-v=-gt$$

$$d=vt-\frac 12gt^2$$

The first equation finds the time for gravity to decelerate the speed to zero at the highest point, while the second equation is the distance formula.

Then, eliminate time $t$ to get the distance,

$$d=\frac{v^2}{2g}$$

Quanto
  • 97,352