Question

Ques1. A body thrown vertically upward and returns back to the thrower after 6 seconds. Find- 1.velocity with which the body is thrown. 2.distance and
displacement of the body after- (a) 1 sec (b) 2 sec (c) 3 sec (d) 4 sec (e) 5 sec (f) 6 sec 3. Using given data plot- (a) distance time graph (b) displacement time graph (c) speed time graph (d) velocity time graph (e) acceleration time graph 4. Can a body have zero velocity while moving with uniform acceleration. Explain with graph.

Answer 1

Question #60405, Physics / Other

Ques1. A body thrown vertically upward and returns back to the thrower after 6 seconds. Find- 1. velocity with which the body is thrown. 2. distance and

displacement of the body after- (a) 1 sec (b) 2 sec (c) 3 sec (d) 4 sec (e) 5 sec (f) 6 sec 3. Using given data plot- (a) distance time graph (b) displacement time graph (c) speed time graph (d) velocity time graph (e) acceleration time graph 4. Can a body have zero velocity while moving with uniform acceleration. Explain with graph.

Solution

The vertical position of the body relatively to the thrower:

$$y = v _ {0} t - \frac {g t ^ {2}}{2}$$

When the body returns to the thrower, $t = 6$ and $y = 0$ :

$$6 v _ {0} - 1 8 g = 0;$$ $$v _ {0} = 3 g;$$ $$v _ {0} = 2 9. 4 \mathrm {m / s}$$

Plugging the initial velocity into the original equation:

$$y = 2 9. 4 t - 4. 9 t ^ {2}$$

Plugging $t$ values and calculating $y$ :

Distance-time graph:

Displacement-time graph:

The velocity is the first derivative from displacement:

$$y ^ {\prime} = 2 9. 4 - 9. 8 t$$

Speed is the absolute value of the velocity:

$$y ^ {\prime} = \left| 2 9. 4 - 9. 8 t \right|$$

The acceleration is the free fall acceleration: $a = g = 9.8$

The body has zero acceleration at the highest point $(t = 3)$ . At this point, the velocity-time graph crosses the $x$ -axis.

https://www.AssignmentExpert.com