Answer to Question #260198 in Physics for grey tyrant

Question

A parkour artist jumps from one rooftop to another. He jumps off the first rooftop with a velocity of 5m/s, angled at 30° to the horizontal. He stays airborne for 0.70 seconds before landing on the second rooftop.

c. What vertical displacement (∆𝑦⃗) did the parkour artist travel when jumping between the

Answer 1

The time during which the body reached its maximum height

$t=v\sin30°/g=5\cdot\sin30°/9.81=0.255\ (s)$

$t_1=0.7-0.255=0.445\ (s)$

$s_1=gt^2/2=9.8\cdot0.255^2/2=0.32\ (m)$

$s_2=gt_1^2/2=9.8\cdot0.445^2/2=0.97\ (m)$

$\Delta \vec y=0.32 \vec j-0.97 \vec j=-0.65\vec j$