Activity: Solve each problem involving acceleration. Be sure to show all solutions and to use the correct units. 1. While traveling along a

Question

Activity: Solve each problem involving acceleration. Be sure to show all solutions and to use the correct units. 1. While traveling along a highway a driver slows from 45 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? 2. A biker accelerates at a rate of 7 m/s2. How long will it takes the biker to reach a speed of 18 m/s?

in progress 0
Verity 5 years 2021-08-06T22:30:53+00:00 1 Answers 88 views 1

Answers ( )

  1. Jezebel
    0
    2021-08-06T22:32:42+00:00
    Reply

    Answer:

    1. a = – 2.5 m/s²

    2. t = 2.57 s

    Explanation:

    1.

    The acceleration of the driver can be found using the first equation of motion:

    v_f = v_i + at

    where,

    vf = final speed = 15 m/s

    vi = initial speed = 45 m/s

    a = acceleration = ?

    t = time = 12 s

    Therefore,

    15\ m/s = 45\ m/s +a(12\ s)\\\\a = \frac{15\ m/s-45\ m/s}{12\ s}

    a = – 2.5 m/s²

    negative sign indicates deceleration

    2.

    The time taken by the biker to accelerate can be found by using the first equation of motion again:

    v_f = v_i + at

    where,

    vf = final speed = 18 m/s

    vi = initial speed = 0 m/s

    a = acceleration = 7 m/s²

    t = time = ?

    Therefore,

    18\ m/s = 0\ m/s +(7\ m/s^2)t\\\\t = \frac{18\ m/s}{7\ m/s^2}

    t = 2.57 s

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )