The reaction time for an automobile driver is 0.7 sec. If the automobile can be decelerated at 5 m/s2 calculate the total distance travelled in coming to stop from an initial velocity of 8.33 m/s after a signal is observed.

a = −5m/s2u = 8.33m/sv = 0v2 = u2 + 2as0 = (8.33)2 − 10s⇒(8.33)2/10 = s = 6.93distance in reaction time = 0.7×8.33 = 5.831total =12.769

The reaction time for an automobile driver is 0.7 sec. If the automobile can be decelerated at 5 m/s2 calculate the total distance travelled in coming to stop from an initial velocity of 8.33 m/s after a signal is observed.

a = −5m/s2u = 8.33m/sv = 0v2 = u2 + 2as0 = (8.33)2 − 10s⇒(8.33)2/10 = s = 6.93distance in reaction time = 0.7×8.33 = 5.831total =12.769

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The reaction time for an automobile driver is 0.7 sec. If the automobile can be decelerated at 5 m/s² calculate the total distance travelled in coming to stop from an initial velocity of 8.33 m/s after a signal is observed.

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Detailed Solution

a = −5m/s²
u = 8.33m/s
v = 0
v²= u²+ 2as
0 = (8.33)²− 10s

⇒(8.33)²/10 = s = 6.93

distance in reaction time
= 0.7×8.33
= 5.831
total =12.769

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The reaction time for an automobile driver is 0.7 sec. If the automobile can be decelerated at 5 m/s2 calculate the total distance travelled in coming to stop from an initial velocity of 8.33 m/s after a signal is observed.

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The reaction time for an automobile driver is 0.7 sec. If the automobile can be decelerated at 5 m/s² calculate the total distance travelled in coming to stop from an initial velocity of 8.33 m/s after a signal is observed.