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4 December, 05:02

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

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Answers (1)
  1. 4 December, 08:42
    0
    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.
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