A bicycle on a sidewalk moves as shown in the x-t graph at left. (a) What is the

Question

A bicycle on a sidewalk moves as shown in the x-t graph at left. (a) What is the instantaneous velocity at the time t = 1 second (as best you can determine)? (b) What is the instantaneous velocity at the time t = 5 seconds? (c) What is the average velocity of the bike in the time interval 0 to 4 seconds? A basketball traveling sideways at 10 meters/second bounces back sideways off a wall at a speed of 8 meters/second after touching the wall for 04 seconds. Calculate the average acceleration of the ball during this time.

Explanation / Answer

at 1 s,

Change in displacement for 1 sec time period is approximately 4m

So, slope= 4m/s

Instantaneous Velocity = slope=4 m/s

B.)t=5s,

Slope= (18-22)/1

=-4m/s.... approx

C.)from 0 to 4s, displacement=(22.5-10)=12.5 m

So,avg Velocity= 12.5/4= 3.125m/s

B4.)u=10m/s

V=-8m/s

t=0.04 s

a=(v-u)/t

= -18/0.04

=-450m/s2

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