← Free fall

Thrown upward: the velocity, second by second

A ball is thrown straight upward, with air resistance too small to matter. While it rises, by how many m/s does its speed drop during each second of flight? Enter the number only.

A ball leaves your hand moving upward. Gravity does not pause while it rises: the free-fall acceleration acts from the moment the ball leaves your hand. That one fact predicts the velocity at every later second.

Track the velocity second by second, because free-fall acceleration means the velocity changes by 9.8 m/s downward with each second of flight.

A ball leaves at 19.6 m/s upward. One second later: 19.6 − 9.8 = 9.8 m/s upward — still rising, but slower. One second after that: 0. Another second: 9.8 m/s downward. And another: 19.6 m/s downward.

time t (s)velocity v (m/s)1234+19.6+9.80−9.8−19.6Thrown up at 19.6 m/s: the velocity drops by 9.8 m/s with every second of flight.

Taking up as positive, the same list reads +19.6, +9.8, 0, −9.8, −19.6 m/s — one subtraction of 9.8 m/s for each second of flight.

A ball is hit straight up at 29.4 m/s. Air resistance is ignored. What is its velocity 2 s later?

Each second of flight shifts the velocity 9.8 m/s downward.

After 1 s: 29.4 − 9.8 = 19.6 m/s upward.

After 2 s: 19.6 − 9.8 = 9.8 m/s upward.

The velocity is 9.8 m/s upward.

A ball is launched straight up at 39.2 m/s. Air resistance is ignored. Taking up as positive, what is its velocity 3 s after launch? Enter the value in m/s, including its sign.

A stone is flung straight up at 24.5 m/s from the edge of a quarry, and on the way down it falls past the edge. Air resistance is ignored. What is its velocity 4 s after launch?

Four seconds of flight shift the velocity 4 × 9.8 = 39.2 m/s downward.

Taking up as positive: 24.5 − 39.2 = −14.7 m/s.

The velocity is 14.7 m/s downward.

A beanbag is tossed straight up at 14.7 m/s. Air resistance is ignored. Taking up as positive, what is its velocity 2 s after launch? Enter the value in m/s, including its sign.

A ball is fired straight up from a spring launcher at 34.3 m/s. Air resistance is ignored. Taking up as positive, what is its velocity 5 s after launch? Enter the value in m/s, including its sign.

Your turn

A ball is served straight up at 49 m/s. Air resistance is ignored. Taking up as positive, what is its velocity 6 s after launch? Enter the value in m/s, including its sign.

A ball is thrown straight up at 24.5 m/s. Air resistance is ignored. How many seconds after launch is the ball moving at 4.9 m/s downward? Enter the time in seconds.

A test sphere is launched straight up at 44.1 m/s. Air resistance is ignored. Taking up as positive, what is its velocity 4 s after launch? Enter the value in m/s, including its sign.