If a projectile is fired straight up at a speed of 10 m/s, the time it takes to reach the top of its path is about

A. 1 second.

B. 2 seconds.

C. 10 seconds

D. not enough information to estimate

A. The time it takes the projectile to reach the top of its path is about 1 second.

Explanation:

Hi there!

The equation of the velocity of a projectile fired straight up is the following:

v = v0 + g · t

Where:

v = velocity of the projectile.

v0 = initial velocity.

g = acceleration due to gravity (≅ - 9.8 m/s² considering the upward direction as positive)

t = time.

When the projectile reaches the top of its path, its velocity is zero, then, using the equation of velocity, we can solve it for the time:

v = v0 + g · t

0 = 10 m/s - 9.8 m/s² · t

t = - 10 m/s / - 9.8 m/s²

t = 1.0 s

The time it takes the projectile to reach the top of its path is about 1 second.