Question

On the planet Zorb, the acceleration due to gravity is 10 meters per second squared. If you were to launch a projectile at an angle of 30 degrees with an initial velocity of 10 meters per second, in seconds, how long would it take for the projectile to fall to the ground?

Answer 1

The time taken by the projectile to fall to the ground is 1 second.

Step-by-step explanation:

It is given that,

Acceleration due to gravity on the planet Zorb,
`a=10\ m/s^2`

Angle of projectile is 30 degrees

Initial velocity of the projectile, u = 10 m/s

Let t is the time taken for the projectile to fall to the ground. Using second equation of motion to find it

`h=u\ sin\theta t+(1)/(2)at^2`

When it fall to the ground, h = 0 and a = -g

`10\ sin(30)t-(1)/(2)* 10t^2=0`

On solving the above quadratic equation, we get the value of t as,

t = 1 second

So, the time taken for the projectile to fall to the ground is 1 second. Hence, this is the required solution.