Question

what is your acceleration if you are riding your bike at 90 m/s, and 300 seconds later your speed is 60 m/s. 0.1 m/s2 300 m/s2 30 m/s2 0.3 m/s2

Explanation:

Step1: Recall acceleration formula

Acceleration \( a = \frac{v_f - v_i}{t} \), where \( v_f \) is final velocity, \( v_i \) is initial velocity, \( t \) is time.

Step2: Identify values

\( v_i = 90 \, \text{m/s} \), \( v_f = 60 \, \text{m/s} \), \( t = 300 \, \text{s} \).

Step3: Calculate change in velocity

\( \Delta v = v_f - v_i = 60 - 90 = -30 \, \text{m/s} \) (negative for deceleration).

Step4: Compute acceleration

\( a = \frac{-30}{300} = -0.1 \, \text{m/s}^2 \). The magnitude is \( 0.1 \, \text{m/s}^2 \).

Answer:

0.1 m/s²