Question

Sally shot her bow and arrow straight up into the air and she found the maximum height that her arrow reached was 30ft , but she wants to know how long it took to get there , what does she need to find ?

Answer 1

Answer:

Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Step-by-step explanation:

Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:

$y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}$

$0 = v_{o}+g\cdot t$

Where:

$y_{o}$, $y$ - Initial and final height of the arrow, measured in feet.

$v_{o}$ - Initial velocity, measured in feet per second.

$g$ - Gravitational acceleration, measured in feet per square second.

$t$ - Time, measured in seconds.

In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.