# Math question

A small ball is projected vertically upwards with speed 29.4 m s–1 from a point A which is 19.6 m above horizontal ground.
The ball is modelled as a particle moving freely under gravity until it hits the ground. It is assumed that the ball does not rebound.
(a) Find the distance travelled by the ball while its speed is less than 14.7 m s–1

Pls helpppp
Original post by banana_22xx
A small ball is projected vertically upwards with speed 29.4 m s–1 from a point A which is 19.6 m above horizontal ground.
The ball is modelled as a particle moving freely under gravity until it hits the ground. It is assumed that the ball does not rebound.
(a) Find the distance travelled by the ball while its speed is less than 14.7 m s–1

Pls helpppp

Its a fairly basic suvat question, what are you unsure about?
Have you sketched it / thought about which suvats may be helpful?
Original post by mqb2766
Its a fairly basic suvat question, what are you unsure about?
Have you sketched it / thought about which suvats may be helpful?

Do I need to seperate it into two different equations? Like from point A to the maximum height, and from the maximum height to velocity=14.7?
Original post by banana_22xx
Do I need to seperate it into two different equations? Like from point A to the maximum height, and from the maximum height to velocity=14.7?

Knowledge or a sketch of displacement v time should show its a parabola so symmetric about the max height (stationary point). You want the distance travelled (rather than dispalcement which would be 0) between the points where the velocity is +/-14.7 so ...
Original post by mqb2766
Knowledge or a sketch of displacement v time should show its a parabola so symmetric about the max height (stationary point). You want the distance travelled (rather than dispalcement which would be 0) between the points where the velocity is +/-14.7 so ...

Ohhh thank you so much