A car accelerates from rest at a constant rat | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(d) Let the car accelerate at rate $\alpha $ for time ${t_1}$ then maximum velocity attained, $v = 0 + \alpha {t_1} = \alpha {t_1}$

Now, the car de

Vedclass · Accepted Answer

$\frac{{\alpha \beta \,t}}{{\alpha + \beta }}$

Vedclass · Answer

(d) Let the car accelerate at rate $\alpha $ for time ${t_1}$ then maximum velocity attained, $v = 0 + \alpha {t_1} = \alpha {t_1}$

Now, the car decelerates at a rate $\beta $ for time $(t - {t_1})$ and finally comes to rest. Then,

$0 = v - \beta (t - {t_1})$ $&rArr;$ $0 = \alpha {t_1} - \beta t + \beta {t_1}$

$&rArr;$  ${t_1} = \frac{\beta }{{\alpha + \beta }}t$

 $v = \frac{{\alpha \beta }}{{\alpha + \beta }}t$

A car accelerates from rest at a constant rate $\alpha $ for some time, after which it decelerates at a constant rate $\beta $ and comes to rest. If the total time elapsed is $t$, then the maximum velocity acquired by the car is

Similar Questions

Suggest a suitable physical situation for following graphs.

A car moving along a straight highway with speed of $126 \;\mathrm{km} h^{-1}$ is brought to a stop within a distance of $200\; \mathrm{m}$. how long(in $seconds$) does it take for the car to stop?

A motor car moving with a uniform speed of $20\,m/\sec $ comes to stop on the application of brakes after travelling a distance of $10\,m$ Its acceleration is..........$m/{\sec ^2}$

Explain the acceleration.

What is retardation ?