Question

An amateur player is about to throw a dart with an initial velocity of 15 meters/second onto a dartboard that is at a distance of 2.7 meters. Calculate the vertical distance by which the player will miss the target if he throws the dart horizontally, in line with the dartboard.A.

0.08 meters
B.
0.16 meters
C.
0.32 meters
D.
1.8 meters

Answer 1

vertical distance, s = 0.16 meters

Step-by-step explanation:

It is given that,

An amateur player is about to throw a dart with an initial velocity of 15 meters/second onto a dartboard.

Dashboard is placed at a distance of 2.7 meters.

Calculating time from velocity and distance i.e.
`t=(d)/(s)=(2.7)/(15)\ s=0.18\ s`

Using second equation of motion for finding vertical distance :

`s=ut+0.5gt^2`

Here, u = 0 (for vertical velocity )

`s=0.5gt^2`

`s=0.5* 10* (0.18)^2`

s = 0.162 meters

or s = 0.16 meters

Hence, the vertical distance by which the player will miss the target if he throws the dart horizontally, in line with the dartboard is 0.16 meters.