Question

a ball rolling down on an inclined plane with a velocity of 2m/s and has acceleration 4m/s².Find the time taken to complete 60m​

Answer 1

Answer:

Using eq. S=ut+1/2at²

Explanation:

S=60m

u=2m/s

a=4m/s²

t=?

60=2×t + 1/2×4×t²

60=2t + 2t²

2t²+2t-60=0

2t²+(12-10)t-60=0

2t²+12t-10t-60=0

2t(t+6)-10(t+6)=0

(t+6)(2t-10)=0

Either

t+6=0

OR

2t-10=0

t+6=0

=> t=-6

2t-10=0

=>t=5

Since time cannot be negative, -6 will be discarded. So t=5s

Answer 2

Answer:

t=5

Explanation:

Tip

• As a vector measurement of the rate and direction of motion, velocity is defined. Velocity can be defined as the rate of movement in one direction. A rocket launching into space and a car going north on a busy freeway can both be quantified using velocity.

Given

v=2m/s

a=4m/$s^{2}$

Find

The time taken to complete 60m

Solution

Using eq. S=ut+1/2at²

S=60m

u=2m/s

a=4m/s²

t=?

60=2×t + 1/2×4×t²

60=2t + 2t²

2t²+2t-60=0

2t²+(12-10)t-60=0

2t²+12t-10t-60=0

2t(t+6)-10(t+6)=0

(t+6)(2t-10)=0

t=-6 , t=5

Consider t=5 because time couldnt negative

Final Answer

t=5

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