Question

Constant Acceleration Worksheet 1. A ball starts from rest & rolls down an incline for 6 cm in the 1st second. Find: a) The average speed, V, for the first second (Vad/t b) The initial speed, V, If Vav (v vV2, what is vr, the final speed after 1 sec? In the next second from t1s to t 2s, the ball rolls 18 cm. Find c) The average speed, Vav, for the interval from 1-2 seconds (a d/t) d) The initial speed at 1 sec, (V)/2, what is vi, the final speed after 2 sec? e Make a velocity vs time graph, find the acceleration (a Av/At), & Vava for the full 2 sec. 2. A baseball starts from rest and rolls 50.0 m down a hill in 10.0 seconds. (a) What is the average speed (Vav d/t)? (b) What is the initial speed? Since Vava = (Vi + Vr)/2. what is vr, the speed at 10 seconds? c) Make a velocity vs time graph, find the acceleration and average speed for the 10 sec.

Answer 1

Here we wil use given equation to find average speed.

V_avg = d/-t = 6/1 = 6 cm/s = 0.06 m/s (b) V_avg = V_i + V_2/2 v_ = 0 v_avg = 0.06 m/s v_f = 0.12 m/s (c) v_avg = 18/1 = 12 cm/s = 0.18 m/s (d) v_avg = v_ + v_ /2 rightarrow 0.18 = 0.12 = 1.12 + v_f/2 rightarrow 0.36 - 0.12 = v_f v_f = 0.24 m/s Vertical-bar v_ = 0.12/m/s v_avg = 0.18 m/s euro v_avg = 6 + 18/2 = 12 cm/s = 0.12 m/s for t = 0, to = 1, a = 0.12 m/s^2 for t = 1 to t = 2, a = 0.12 m/s^2 (2) (a) v_avg = 50/10 = 5 m/s (b) v_i = 0 cos if from ) n v_avg = 5 = v_1 + v_2/2 rightarrow v_f = 10 m/s