Question

Velocity m/s 20 20 10 20 0 Time (s) 0 5 7 10 15 The above table shows the velocity of the motorbike at various intervals of time. Plot a velocity time graph. i) deceleration between 5 sec and 7 sec ii) acceleration between 7sec and 10 sec. iii) deceleration between 10 sec and 15 sec iv) total distance travelled by the motorbike in 15 sec. v) average velocity of the motorbike. [(i) - 5ms-2 (ii) 3.33m/s2 (ii) +4ms-2 (iv) 225 m (v) 15m/s] plz answer it fast it is very urgent frnds dont see only plss give answer also

Answer 1

Given that,

Velocity (m/s) = 20, 20, 10, 20, 0

Time (sec)=0, 5, 7, 10, 15

We need to draw a diagram

According to diagram

(i). We need to calculate the deceleration between 5 sec and 7 sec

Using formula of deceleration

$a=\dfrac{v_{2}-v_{1}}{t}$

Put the value into the formula

$a=\dfrac{10-20}{2}$

$a=-5\ m/s^2$

(ii). We need to calculate the acceleration between 7 sec and 10 sec

Using formula of deceleration

$a=\dfrac{v_{2}-v_{1}}{t}$

Put the value into the formula

$a=\dfrac{20-10}{3}$

$a=3.33\ m/s^2$

(iii). We need to calculate the deceleration between 10 sec and 15 sec

Using formula of deceleration

$a=\dfrac{v_{2}-v_{1}}{t}$

Put the value into the formula

$a=\dfrac{0-20}{5}$

$a=-4\ m/s^2$

(iv). We need to calculate the  total distance travelled by the motorbike in 15 sec

Using formula of total distance

$D=A_{1}+A_{2}+A_{3}+A_{4}$

Put the value into the formula

$D=20\times 5+(\dfrac{1}{2}\times(20+10)\times2)+(\dfrac{1}{2}\times(10+20)\times3)+\dfrac{1}{2}\times5\times20$

$D=225\ m$

(v). We need to calculate the average velocity of the motorbike

Using formula of average velocity

$v_{avg}=\dfrac{D}{T}$

Put the value into the formula

$v_{avg}=\dfrac{225}{15}$

$v_{avg}=15\ m/s$

Hence, (i). The deceleration between 5 sec and 7 sec is -5 m/s².

(ii). The acceleration between 7 sec and 10 sec is 3.33 m/s².

(iii). The deceleration between 10 sec and 15 sec is -4 m/s².

(iv). The total distance travelled by the motorbike in 15 sec is 225 m.

(v). The average velocity of the motorbike is 15 m/s.